some bibliography: N

[A] [B] [C] [D] [E] [F] [G] [H] [I] [J] [K] [L] [M] [N] [O] [P] [Q] [R] [S] [T] [U] [V] [W] [X] [Y] [Z] [NOAUTHORS]

Nadaud, Francois

Generalized deformations, Koszul resolutions, Moyal products
Rev. Math. Phys. 10 (1998), N5, 685-704
Description: Gerstanhaber deformation theory is generalized by dropping assumption that deformation parameter commutes with algebra elements. Corresponding cohomology theory.
Availability: art_1.ps

Deformations et deformations generalisees
PhD Thesis, 2000
Description: See author's papers.
Availability: these.ps

Generalized deformations and Hochschild cohomology
URL: http://www.ingentaconnect.com/content/klu/math/2001/00000058/00000001/00380827 http://www.u-bourgogne.fr/monge/f.nadaud/articles/art_3.ps
DOI: 10.1023/A:1012512713468
Lett. M. Phys. 58 (2001), N1, 41-55
Abstract: We present a generalization of Gerstenhaber's theory of deformations. We no longer assume that the deformation parameter t acts in its usual free and symmetric way on the elements of the original algebra A, but in the following manner: t · a = ?(a)t and a · t = ?(a)t, where ? and ? are endomorphisms of A. We develop the cohomological framework adapted to these deformations.

Nagao, Hirosi

Note on the cohomology groups of associative algebras
Nagoya Math. J. 6 (1953), 85-92.
MR 0058587
Zentralblatt: 0052.27102
Description: Characterization of algebras whose H^3 vanishes for all modules.

On GL(2,K[x])
J. Inst. Polytechn., Osaka City Univ., Ser. A 10(1959), 117-121
Zentralblatt: 0092.02504
Availability: hardcopy

Nagi, Jasbir

On extensions of superconformal algebras
hep-th/0412061
J.Math.Phys. 46 (2005) 042308

Naito, Satoshi

Kostant's Theorem for a Certain Class of Generalized Kac.Moody Algebras
Proc. Japan Acad., 58, Ser. A (1992) 43
Description: (Co)homology of "nilpotent part".

Nakai, Y.

High order derivations. I
Osaka J.M. 7(1970), 1-27

Nakajima, Atsushi

On categorical properties of generalized derivations
Scientiae Mathematicae 2 (1999), No.3, 345-352
Zentralblatt: 0968.16018

Note on generalized Jordan derivations associate with Hochschild 2-cocycles of rings
Turkish J. Math. 30 (2006), 403-411
Zentralblatt: pre05119345
Description: Mappings D:A->A of an associative ring A are considered such that D(ab) = D(a)b + aD(b) + f(x,y) for some 2-cocycle on A. Aside from some examples, the paper seems to be vacuous (every D is such for f=dD, d - Hochschild coboundary).
Availability: journal web site; hardcopy

Nakamura, Yoshio

On completely noncommutative groups
Math. Rep. Toyama Univ. 5 (1982), 127--136
MR 83k:20005
Description: Groups with following properties: if a,b commute, then either a=b or a=b^{-1}; if a,b commute, then they lie in a cyclic subgroup. Mainly finite ones.

Nakanishi, Nobutada

The first cohomology groups of infinite dimensional Lie algebras
Proc. Japan Acad. Ser. A Math. Sci. Volume 56, Number 5 (1980), 197-199
MR 580079
Zentralblatt: 0464.58025
Description: Of filtered Lie algebras close to those of vector fields.

Nakano, Daniel K.

Projective Modules over Lie Algebras of Cartan Type
Memoirs of the American Mathematical Society 98(1992), 84 pp.
Zentralblatt: 0757.17015
Availability: 14$

Filtrations for periodic modules over restricted Lie algebras
Indag. Math. 3(1992), No.1, 59-68
Zentralblatt: 0757.17014

On the cohomology for the Witt algebra W(1,1)
Gonza'lez, Santos (ed.), Non-associative algebra and its applications. 3rd international conference, Oviedo, Spain, July 12th-17th, 1993. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 303, 291-295 (1994)
Zentralblatt: 0817.17024

Homomorphisms inducing isomorphisms in Lie algebra cohomology
J. Pure Appl. Alg. 90(1993), N1, 49-54
Abstract: In this paper we investigate the relationship between maps of restricted Lie algebras and their corresponding restriction maps in cohomology. It will be shown that given certain conditions on the restriction maps one can conclude that the kernel and/or cokernel of the original map are cohomologically trivial.

Nakano, Daniel K. and Pollack, R. David

On the construction of indecomposable modules over restricted enveloping algebras
J. Pure Appl. Algebra 107(1996), No.1, 61-73
Zentralblatt: 0859.17011
Description: Over Lie algebras of Cartan type, with special attention to Witt.

Blocks of finite type in reduced enveloping algebras for classical Lie algebras
J. Lond. Math. Soc. 61(2000), No.2, 374-394
Zentralblatt: 0987.17005
Availability: bladerunner.pdf

Nakayama, Tadasi

On absolutely segregated algebras and relative 3-cohomology groups of an algebra
Nagoya Math. J. 6 (1953), 177-185
MR 0058588
Zentralblatt: 0052.27103
Description: Conditions for associative algebras of vanishing of all cohomology in some degrees.

Nam, Ki-Bong

Generalized W-type and H-type algebras
math.RT/9712294
Abstract: It is well known that the Poisson Lie algebra is isomorphic to the Hamiltonian Lie algebra. We show that the Poisson Lie algebra can be embedded properly in the special type Lie algebra. We also generalize the Hamiltonian Lie algebra using exponential functions, and we show that these Lie algebras are simple.

Modular W and H type Lie algebras
DOI: 10.1007/s100120200046
Southeast Asian Bulletin Math. 26(2002), N2, 245-255
Description: Embeddings, derivations.
Availability: 20260245.pdf

Nastasescu, C. and Caenepeel, S. and Dascalescu, S.

ON GRADINGS OF MATRIX ALGEBRAS AND DESCENT THEORY
Comm.Alg. 30(2002), N12, 5901 - 5920
Description: some resonings relating change of base field, Amitsur cohomology, automorphisms, Picard group

Nastasescu, C. and Oystaeyen, F.

Methods of Graded Rings
LNM 1836 (2004)
Availability: Kolkhoz

Nastasescu, Constantin and Oystaeyen, Freddy Van

Graded Ring Theory
N.-Holland, 1982
Description: probably relevant in the context of filtered deformations.

Methods of Graded Rings
LNM 1836(2004)
Availability: 50 EUR

Nath, Sudhir R.

On the constructions of Tits and Faulkner: an isomorphism theorem.
Int. J. Math. Math. Sci. 28(2001), no. 11, 673--678.

Naudin, P. and Quitté, C.

Algorithmique Algébrique
Mir, 1999 (Russian translation from Masson, 1992); paperback, 719 pp.
Availability: hardcopy (book)

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Nayfeh, Ali Hasan

Perturbation Methods
Wiley, 1973
Description: Interesting.
Availability: 1973-perturbation.djvu

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Naylor, C.

Build Your Own Expert Systems
Energoatomizdat, Moscow, 1991 (Russian translation from John Wiley & Sons, 1987); paperback, 285 pp.
Availability: hardcopy (book)

Nazaikinskii, V.E. and Shatalov, V.E. and Sternin, B.Yu.

Methods of Noncommutative Analysis
URL: http://techlibrary.ru/books.htm http://www.eknigu.com/info/M_Mathematics/MC_Calculus/MCf_Functional%20analysis
Technosphera, Moscow, 2002 (Russian translation from W. de Gruyter, 1996); hardcover, 334 pp.
Availability: Kolkhoz; hardcopy (book)

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Ndogmo, J. C.

Invariants of a semi-direct sum of Lie algebras
DOI: 10.1088/0305-4470/37/21/009
J. Phys. A 37 (2004), no. 21, 5635--5647
Zentralblatt: 1058.17002
Abstract: ... any semi-direct sum L of Lie algebras with Levi factor S must be perfect if the representation associated with it does not possess a copy of the trivial representation...
Availability: a4_21_009.pdf

Neeb, Karl-Hermann

Non-abelian extensions of topological Lie algebras
DOI: 10.1080/00927870500441973
Comm. Algebra 34 (2006), N3, 991-1041
arXiv:math.RA/0411256

Lie algebra extensions and higher order cocycles
J. Geom. Symm. Phys. (2006), 48-74
Description: Analytic settings.

Neeb, K.-H. and Penkov, I.

Cartan subalgebras of gl_\infty
Canad. Math. Bull. 46 (2003) 597-616

Neeb, K.-H. and Wagemann, F.

Universal central extension of holomorphic current algebras
Manuscr. Math. 112 (2003), N4, 441-458; addendum: 116 (2005), N2, 245-247

Availability: 229_2003_Article_409.pdf

The second cohomology of current algebras of general Lie algebras
arXiv:math.RA/0511260
CJM, to appear
Description: A 7-term exact sequence relatin H^2,3(L,K), H^1,2(L,L*), and symmetric invarinat forms. This coincides with the beginning of the long exact sequence described in Dzhu, "Symmetric cohomologies" (CRAS, 1997). For H^2 for current algebras, seemingly nothing new neither in results nor in methods.
Availability: hardcopy

Neeb, Karl-Hermann and Wockel, Christoph

Central extensions of groups of sections
arXiv:0711.3437
Description: Appendix: generalities of symmetric bilinear invariant forms on finite-dimensional Lie algebras in p=0 (in terms of Levi decomposition, universal form, etc.)

Ne\'eman, Yuval

Dynkin diagrams in the physics of particles, fields and strings
Selected Papers of E.B.Dynkin with Commentary, AMS, 2000, 373-381
Availability: neeman.djvu; hardcopy (book)

Neggers, J. and Kim, Young Hee and Kim, Hee Sik

Incomparability and transitivity
Kyungpook Math. J. 42 (2002), 5-11
Zentralblatt: (me)
Availability: hardcopy

Nehari, Z.

Conformal Mapping
Dover, 1975; paperback, 396 pp.
Availability: hardcopy (book)

Neher, E.

An introduction to universal central extensions of Lie superalgebras
URL: http://mathematik.uibk.ac.at/mathematik/jordan/archive/uce/index.html http://www.mathstat.uottawa.ca/~neher/Papers/
Groups, rings, Lie and Hopf algebras, Kluwer, 2003, 141--166
Abstract: We provide an introduction to the theory of universal central extensions of Lie superalgebras. In particular, we show that a Lie superalgebra has a universal central extension if and only if it is perfect. For perfect Lie superalgebras we provide a model for the universal central extension, which is the super version of a construction first given by van der Kallen for Lie algebras. It has the advantage that it works for Lie superalgebras over commutative superrings, which is the setting of the paper. Another topic considered is the lifting of automorphisms and derivations to the universal central extension.
Availability: hardcopy

Extended affine Lie algebras
URL: http://www1-c703.uibk.ac.at/mathematik/jordan/archive/anneala/anneala.pdf http://www.mathstat.uottawa.ca/~neher/Papers/
Description: Preprint, 2004

Extended affine Lie algebras and other generalizations of affine Lie algebras - a survey
arXiv:0805.3460
Trends and developments in infinite dimensional Lie theory", editors: K.-H. Neeb and A. Pianzola, Birkhauser, to appear

Nekljudova, Valentina

Cyclic and Hochschild homology of one-relator algebras via the X-complex of Cuntz and Quillen
Dissertation, U. Munster, 2004
Description: Including of Weyl algebras and related.
Availability: web

Radically Elementary Probability Theory
URL: http://www.math.princeton.edu/~nelson/books.html http://techlibrary.ru/books.htm
Princeton Univ. Press, 1987
Description: Using nonstandard analysis.

Neretin, Yurii A.

An estimate of the number of parameters defining an n-dimensional algebra
DOI: 10.1070/IM1988v030n02ABEH001010
Math. USSR Izv. 30 (1988), No.2, 283-294
Zentralblatt: 0624.17008
Availability: lie.ps; hardcopy

Representations of Virasoro and affine Lie algebras (in Russian)
Teoriya predstavlenii i nekommutativnyi garmonicheskii analiz - I, 1988, VINITI, 164-224
Springer, 1994
Zentralblatt: 0656.17011
Availability: viniti-22-2.{pdf,djvu}

Kategorii simmetrii i beskonechnomernye gruppy
URSS, 1998 (in Russian); hardcover, big format, 431 pp.
Availability: hardcopy (book)

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A construction of finite-dimensional faithful representation of Lie algebra
Rend. Circ. Mat. Palermo Suppl. No. 71 (2003), 159-161
arXiv:math.RT/0202190
Zentralblatt: 1078.17004
Description: A simple alternative proof of the Ado theorem.

"Metod votrichnogo kvantovaniya" Berezina. Vzglyad 40 let spustya.
Manuscript
Description: Including history of central extensions, Virasoro algebra.
Availability: berezin.pdf

Nervi, Josiane

Affine Kac-Moody algebras graded by affine root systems
DOI: 10.1016/S0021-8693(02)00053-4
J. Algebra 253, No.1, 50-99 (2002)
Zentralblatt: 1019.17007

Nervi-Gasparini, Josiane (=Nervi)

Affine Kac-Moody algebras graded by finite root systems
Preprint IRMA 2003-012
Abstract: The purpose of this paper is to study the gradations of the affine Kac-Moody algebras by finite root systems as defined by S. Berman and R. Moody. We first prove a transitivity property which allows to give a large class of such root-graded algebras. Then we prove a series of determining conditions and we obtain, in particular, that the twisted exceptional affine algebras are not graded by any finite root system. We study then more particularly the case of the non twisted algebras graded by a simply laced root system and we give the full classification. Finally, we give all the A_k-gradations.

Nesin, Ali

Non-Associative Rings of Finite Morley Rank
A. Nesin and A. Pillay, eds., The Model Theory of Groups (Notre Dame, Ind.: University of Notre Dame Press, 1989), 117-137
Description: Including Lie rings.

Nest, Ryszard and Tsygan, Boris

Algebraic index theorem
Preprint
Availability: hardcopy

Nesterenko, Maryna and Popovych, Roman

DOI: 10.1063/1.2400834
Contractions of low-dimensional Lie algebras
J. Math. Phys. 47 (2006), 123515
arXiv:math-ph/0608018
Description: An extensive survey of papers about contractions.
Availability: hardcopy (printed inconsistenly)

Nesterenko, Y. and Suslin, A.

Homology of the general linear groups over a local ring, and Milnor's K-theory
Izvestiya AN SSSR 53 (1989), N1, 121-146

Nestruev, Jet

Smooth Manifolds and Observables
URL: http://diffiety.ac.ru/books/nestrus.htm http://techlibrary.ru/books.htm http://www.springer.com/math/geometry/book/978-0-387-95543-8
MCCME, 2000 (in Russian); hardcover, 298 pp.
Availability: Kolkhoz (Rissian 2nd 2003 ed. and Springer edition); hardcopy (book); google books

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Neter, J. and Wasserman, W.

Applied Linear Statistical Models
Richard D. Irwin, Inc., 1974; hardcover, 842 pp.
Availability: hardcopy (book)

Neukirsch, J. and Schmidt, A. and Winberg, K.

Cohomology of Number Fields
Springer, 2000; hardcover, 699 pp.
Availability: hardcopy (book)

Neumaier, N. and Pflaum, M.J. and Posthuma, H.B. and Tang, X.

Homology of formal deformations of proper etale Lie groupoids
Description: (Ref. to) "noncommutative Poisson homology" of Poisson algebras.

Neumann, B.H.

Embedding non-associative rings in division rings
DOI: 10.1112/plms/s3-1.1.241
Proc. London Math. Soc. 3 (1951), N1, 241-256
Description: Every nonassociative ring without zero divisors can be embedded into division ring.
Availability: 241.pdf

Neumann, H.

Varieties of Groups
College Press, Univ. of Beijing, 1998 (reprint of the 1967 edition); paperback, small format, 192 pp.
Description: p. 42 - Miller-Moreno-Schmidt minimal nonabelian groups p.104 - variation on the theme of Fox.
Availability: hardcopy; Kolkhoz

Neumark, M.A. (=Naimark)

Normierte Algebren
VEB Deutscher Verlag der Wissenschaften, Berlin, 1959 (translation from Russian, Gos. Izdat. Tekhniko-Teoret. Lit., Moscow, 1956); hardcover, 572 pp.
Availability: hardcopy (book); Kolkhoz (Russian edition)

Neun, W.

Some examples for parallel computations using REDUCE (in Russian)
Fund. Prikl. Matem. 5(1999), N3, 747-756

Newman, Morris

Pairs of matrices generating discrete free groups and free products
DOI: 10.1307/mmj/1028999968
Michigan Math. J. 15 (1968), N2, 155-160.
MR 0228592
Zentralblatt: 0157.34903

Integral Matrices
Academic Prss, 1972
Description: Including finite matrix groups.
Availability: int-matrices.djvu; Kolkhoz; absent on amazon

Ng, CHI-KEUNG

On quaternionic functional analysis
DOI: 10.1017/S0305004107000187
Mathematical Proceedings of the Cambridge Philosophical Society (2007), 143: 391-406

Ng, Siu-Hung and Taft, Earl J.

Classification of the Lie bialgebra structures on the Witt and Virasoro algebras
DOI: 10.1016/S0022-4049(99)00045-6
J. Pure Appl. Alg. 151 (2000), 67-88
Description: Claim gaps in Dzhu's calculations of H^1(L,L\wedge L).
Availability: science.pdf

Nguiffo Boyom, Michel

Cohomology of Koszul-Vinberg algebroids and Poisson manifolds, I
Lie Algebroids, Banach Center Publ. 54 (2001), 99-
Description: Also defined cohomology of so-called Vinberg-Koszul (=left symmetric) algebras.
Availability: boyom.dvi

Nguyen, Ai Viet

ON SEMISIMPLICITY OF SUPERALGEBRAS
Acta Phys. Acad. Sci. Hung. 56 ( 1984) 39-45

Nguyen, Van Hai

Relations entre les diverses obstructions relatives a l'existence d'une connexion lineaire inavrainte sur une espace homogene
CRAS 260(1965), 45-48
Description: seems to be unusual structe-functions-like connection of some Lie algebra cocycles with homogeneous spaces.

Nhi, Dam Van and Trung, Ngo Viet

Specialization of modules
math.AC/0210175
Description: A theory of specialization of modules is developed (analogous to specialiaztions of rings). Relationship between properties of modules and its specializations.

Specialization of modules over local rings
math.AC/0210177
Description: see previous paper

Niblo, Graham A.

A geometric proof of Stallings' theorem on groups with more than one end
DOI: 10.1023/B:GEOM.0000024780.73453.e4
Geom. Dedicata 105 (2004), N1, 61-76

Nicas, Andrew and Rosenthal, David

Hochschild homology relative to a family of groups
DOI: 10.2140/agt.2008.8.693
Algebraic & Geometric Topology 8 (2008) 693-728
Description: Of groups.

Nichols, Warren D.

On Lie and associative duals
DOI: 10.1016/0022-4049(93)90117-C
J. Pure Appl. Algebra 87 (1993), N3, 313-320
Availability: science.pdf

Nicholson, W.K. and Watters, J.F.

On tensor products and extended centroids
Proc. Amer. Math. Soc. 88 (1983), 215-217
Zentralblatt: 0517.16003
Description: When each nonzero ideal of R\otimes S for prime associative algebras R,S, contains an element r\otimes s, r\in R, s\in S?
Availability: 1983-tensor.pdf

Nicholson, W.K. and Yousif, M.F.

Quasi-Frobenius rings
CUP, 2003
Availability: Kolkhoz

Nicolesco, M.

Les fonctions polyharmoniques
Hermann, 1936; paperback, 54 pp.
Availability: hardcopy (book)

Niemann, Peter

Some generalized Kac-Moody algebras with known root multiplicities
Mem. Amer. Math. Soc. 157 (2002), no. 746, 119pp.
arXiv:math.QA/0001029
Availability: Google books

Nievergelt, J. and Farrar, J.C. and Reingold, E.M.

Computer Approaches to Mathematical Problems
Prentice-Hall, 1974; hardcover with dustjacket, 257 pp.
Availability: hardcopy (book)

Nijenhuis, Albert

A Lie product for the cohomology of subalgebras with coefficients in the quotient
BAMS November 1967, 962-967
Availability: hardcopy

Nijenhuis, Albert and Richardson, R.W.

Cohomology and deformation of algebraic structures
Bull. Amer. Math. Soc. 70 (1964), 406-411
MR 0178041
Zentralblatt: 0138.26301
Description: Seems to be elaborated lately in 1966 BAMS; including Lie algebras. Seemingly graded Lie superalgebra structure on H^*(L,L) is for the first time introduced here.
Availability: hardcopy

Cohomology and deformations in graded Lie algebras
DOI: 10.1090/S0002-9904-1966-11401-5
Bull. Amer. Math. Soc. 72 (1966), 1-29
MR 0195995
Zentralblatt: 0136.30502
Availability: hardcopy

Deformations of homomorphisms of Lie groups and Lie algebras
Bull. Amer. Math. Soc. 73 (1967), 175-179
Zentralblatt: 0153.04402
Availability: hardcopy

Deformations of Lie algebra structures
J. Math. Mech. 17 (1967), 89-105
Zentralblatt: 0166.30202
Description: Among all, deformations of modules and ideals.
Availability: hardcopy

Commutative algebra cohomology and deformations of Lie and associative algebras
J. Algebra 9 (1968), 42-53
Zentralblatt: 0175.31302
Description: Seems to be predecessor of Fialowski and others on miniversal deformations, as Harrison cohomology is involved in a some global manner.
Availability: hardcopy

Nikitin, A. A.

Almost alternative algebras
DOI: 10.1007/BF01463201
Algebra and Logic 13 (1974), N5, 287-305
Availability: 1974-almost.pdf

Nikolov, Nikolay

On the commutator width of perfect groups
Bull. London Math. Soc. 36 (2004), N1, 30-36
Abstract: This paper proves bounds for the commutator width of a wreath product of two groups. As a corollary, it is shown that the commutator width of finite perfect linear groups of dimension 15 is unbounded. It follows that the covering number of these groups is unbounded. On the other hand, the commutator width of iterated wreath products of nonabelian finite simple groups is bounded by an absolute constant.

Nikolskii, S.M.

Some reminiscences of A.I.Malcev
Rus. Math. Surv. 27(1972), N4, 179-187
Availability: VU

Nirov, Kh. S. and Razumov, A. V.

On Z-gradations of twisted loop Lie algebras of complex simple Lie algebras
DOI: 10.1007/s00220-006-0068-3
Comm. Math. Phys. 267 (2006), no. 3, 587--610
Description: Automorphisms of such algebras.

Nisnevich, V.L.

O gruppakh izomorfno predstvimykh matricami nad kommutativnym kolcom
URL: http://mi.mathnet.ru/msb6036 http://dms.rusdml.de/index.php?id=ppn&PPN=PPN477674380_0050
Mat. Sbornik 8 (1940), N3, 395-403
4040
Zentralblatt: 0024.25303
Jahrbuch: 66.0091.04
Description: The technique is similar to those of Malcev (considering matrices of indeterminates and reducing question to sort of compactness for system of polynomial equations/inequalities).
Availability: hardcopy

Nissen, F.G.J.A.

International Financial Market Dynamics. An Empirical Investigation on Exchange Rates, Interest Rates and Stock Returns
Ph.D. Thesis, Univ. Maastricht, 1997; 169 pp.
Availability: hardcopy (in books)

Nita, Ana

Quelques observations sur les ultraproduits d'anneaux
Bull. Math. Soc. Sci. Rep. Soc. Roum. 68 (1976), 325-328
Availability: hardcopy

Ultraproduse de inele care pastereaza propietatile factorilor
Stud. si Cerc. Mat. 31 (1979), N2, 209-211 (Roumanian)
Zentralblatt: 0423.16014
Description: Seems to be fairly elementary.
Availability: absent in Icelandic libraries

Ultraproduse ale unor clase de inele
Buletinul Institutului Politehnic Bucuresti, 1980, N1, 13-17 (Roumanian)
Zentralblatt: 0484.13007
Description: Ultraproduct of polynomial ring is polynomial ring over ultraproduct, etc. Seems to be pretty elementary.

Sur les ultraproduits des modules
Bull. Math. Soc. Sci. Math. Répub. Soc. Roum. 24 (1980), 167-170
Zentralblatt: 0467.03022
Description: Preservation of various properties under ultraproduct of modules. Seems to be pretty elementary.

Sur les sous-modules d'un produit de modules
Stud. Cercet. Mat. 32, 209-211 (1980)
Zentralblatt: 0434.16025
Description: Under which conditions ultraproduct is simple, etc.

Nita, Ana and Nita, Constantin

Sur l'ultraproduit des anneaux de matrices
Bull. Math. Soc. Sci. Math. Repub. Soc. Roum. 29 (1985), N3, 275-278
MR 87e:16044 (P.M. Cohn)
Zentralblatt: 0578.16008
Description: Ultraproduct of matrix rings (of the same order) is isomorphic to a matrix ring over ultraproduct.
Availability: hardcopy

Les ultraproduits d'anneaux qui verifient de certains conditions des chaines
Bull. Math. de la Soc. Sci. Math. de la R.S.R. 30 (1986), nr.4, 335-338
Availability: hardcopy

Niven, Ivan

Formal power series
Amer. Math. Monthly 76(1969), N8, 871-889
Availability: formal.djvu

Niyogi, Partha and Smale, Stephen and Weinberger, Shmuel

Finding the homology of submanifolds with high confidence from random samples
DOI: 10.1007/s00454-006-1250-7
Discrete Comput. Geom. 2006, OF1-OF23
Availability: hardcopy; NSW1.pdf

Nomizu, Katsumi

On the cohomology of compact homogeneous spaces of nilpotent Lie groups
Ann. Math 59 (1954), 531-538
Description: A blend of symmetric spaces, Lie algebras and homological algebra.
Availability: 0-150.pdf

Nomura, Toshio

Homomorphisms and congruences for abstract feedback systems
Inform. and Control 51 (1981), no. 1, 20--44
MR 84h:93003
Description: Could be useful in "databases replication" model?

Noonan, B.

Representations subduced on an ideal of a Lie algebra
CJM 14 (1962), 293-303
Description: Projective representations.
Availability: google books; 1962-representations.tar (except the last page)

The construction of representations of Lie algebras of characteristic zero
CJM 14 (1962), N2, 304-312
Description: Including (another) proof of Ado's theorem.
Availability: google books; 1962-construction.tar

Nori, M.V.

On subgroups of GL_n(F_p)
Invent. Math. 88 (1987), 257-275
Description: Exp and log mappings (in groups and Lie algebras).
Availability: PPN356556735_0088__0_0.pdf

Norman, C.W.

On Jordan bases for the tensor product and Kronecker sum and their elementary divisors over fields of prime characteristic
DOI: 10.1080/03081080701395640
Linear and Multilinear Algebra, Volume 56, Issue 4 July 2008, pages 415-451
Availability: a779249650.pdf

Noskov, G. A. and Remeslennikov, V. N. and Roman'kov, V. A.

Infinite groups
DOI: 10.1007/BF01091962
J. Sov. Math. 18 (1982), 669-735
Alg. Top. Geom., Vol. 17, VINITI, 65-
Description: A VINITI survey
Availability: r766314314826vl6.pdf

Noskov, Guennadi A. and Vinberg, E`rnest B.

Strong Tits alternative for subgroups of Coxeter groups
URL: http://www.mathematik.uni-bielefeld.de/sfb343/preprints/index00.html http://emis.bibl.cwi.nl/journals/JLT/vol.12_no.1/13.html
J. Lie Theory 12(2002), No.1, pp. 259-264
"Diskrete Strukturen in der Mathematik" Preprint 00-102, 2000

Notari, Roberto and Riccomagno, Eva and Rogantin, Maria-Piera

Two polynomial representations of experimental design
arXiv:0709.2997
Description: Experimental designs in the frmawortk of algebaric statistics (Groebner bases etc.)

Nouaze, Yvon and Revoy, Philippe

Un cas particulier du the'ore`me de Poincare'-Birkhoff-Witt
C. R. Acad. Sci., Paris, Se'r. A 273, 329-331 (1971)
Zentralblatt: 0266.17007

Noui, L. and Revoy, Ph.

Algebres de lie orthogonales et formes trilineaires alternees
DOI: 10.1080/00927879708825878
Communications in Algebra, Volume 25, Issue 2 1997 , pages 617 - 622
Description: Such 2-step nilpotent Lie algebras.

Novikov, B. V. and Polyakova, L. Yu.

On 0-homology of categorical at zero semigroups
arXiv:0803.1614
Description: Coincedence of 0-homology and Chevalley-Eilenberg homology for some class of semigroups.

Novikov, Boris V.

Semigroups of cohomological dimension one
DOI: 10.1006/jabr.1997.7363
J. Algebra 204 (1998), No. 2, 386-393
Availability: semigroups_cd1.pdf

Semigroup cohomology and applications
Algebra-Representation theory, NATO Sci. Ser. II, 28, Kluwer, 2001, 219-234
arXiv:0803.0463
Description: A survey of othert author's works.

0-Cohomology of semigroups
DOI: 10.1016/S1570-7954(07)05004-8
Handbook of Algebra, Vol. 5, Elsevier, 2008, 189-209
arXiv:0803.1119
Description: A survey.

Novikov, S.P.

The geometry of conservative systems of hydrodynamc type. The method of averaging for field-theretical systems
Rus. Math. Surv. 40 (1985), N4, 85-98
Description: Some infinite-dimensional Poisson brackets related to finite-dimensional Novikov algebras.
Availability: hardcopy

Novotny', Miroslav

Mono-unary algebras in the work of Czechoslovak mathematicians
Arch. Math., Brno 26, No.2/3, 155-164 (1990)
Zentralblatt: 0741.08001
Description: A survey.
Availability: pdfconvert_2.pdf

Novotný, Petr and Hrivnák, Jirí

On (\alpha,\beta,\gamma)-derivations of Lie algebras and corresponding invariant functions
DOI: 10.1016/j.geomphys.2007.10.005
J. Geom. Phys. 58 (2008), N2, 208-217
Description: aD([x,y]) = b[D(x),y] + c[x,D(y)]. Not very deep.

Nowicki and Nowosad

Local derivations of subrings of matrix rings
Acta Math. Hungar. 105(2004), 145-150
(me)
Availability: hardcopy

Nozaradan, Christophe

Introduction to Vertex Algebras
arXiv:0809.1380, 91 pp.

Ntolo, Patricia

Homologie de Leibniz d'algèbres de Lie semi-simples
C. R. Acad. Sci. Paris 318 (1994), No.8, 707-710
Zentralblatt: 0797.17012
Description: If g is simple Lie algebra over p=0, and M is a finite-dimensional g-module, then HL_n(g,M) = 0 for n>1.
Availability: Ntolo.pdf

Nurowski, Pawel

Deforming a Lie algebra by means of a 2-form
DOI: 10.1016/j.geomphys.2006.10.008
J. Geom. Phys. 57 (2007), N5, 1325-1329
arXiv:math.DG/0605748
Description: Skew-symmetric algebras L satisfying an identity [[x,y],z] + [[z,x],y] + [[y,z],x] = a(x,y)z + z(z,x)y + a(y,z)x for a form a : L x L -> K, are considered. 3-dimensional such algebars are classified.
Availability: 2007-deforming.pdf; hardcopy

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