41. The Staff Laboratory of nonassociative rings. English page Russian page (WIN)Russian page (KOI8). SHESTAKOV Ivan Pavlovich Chairman. ZHELYABIN http://www.math.nsc.ru/LBRT/a1/staff.htm

Laboratory of Nonassociative Rings English page Russian page (WIN) Russian page (KOI-8) SHESTAKOV Ivan Pavlovich Chairman ZHELYABIN Viktor Nikolaevich Leading Research Fellow KUZ'MIN Eugene Nikiforovich Leading Research Fellow MEDVEDEV Yuri Aleksandrovich Leading Research Fellow FILIPPOV Valerie Terent'evich Leading Research Fellow VASILOVSKIY Serge Yur'evich Senior Research Fellow GAYNOV Aleksei Timofeevich Senior Research Fellow IL'TYAKOV Alexander Vladimirovich Senior Research Fellow SMIRNOV Oleg Nikolaevich Senior Research Fellow POZHIDAEV Alexander Petrovich Mathematician Seminar "Shirshov's Seminar on Rings Theory " Usually take place on Wensday afternoon at 4.30 p.m. in Rm. 344, Institute of Mathematics. All welcome! Please contact Alexander Pozhidaev for further information Webmaster: app@math.nsc.ru

42. GAYNOV Aleksei Timofeevich GAYNOV Aleksei Timofeevich. Position Institute of Mathematics, Laboratoryof nonassociative rings. Senior research fellow. Scientific http://www.math.nsc.ru/LBRT/a1/gaynov.htm

GAYNOV Aleksei Timofeevich Position: Institute of Mathematics, Laboratory of Nonassociative rings. Senior research fellow. Scientific interests: Algebra, theory of rings. Main publications: Teaching activity: 1956 - 1959 - Senior teacher of the Omsk State Pedagogical Institute. Since 1960 till the present time - professor (since 1992) of the Novosibirsk State University. Since 1972 till the present time - professor (since 1992) of the physico-mathematical school at the Novosibirsk State University. Vitae: I was born 26.02.29 in a village Hmel'niki of Yaroslavl' region. The parents: Father - Gainov Timofei Filippovich (1889-1953) - collective farmer, Mother - Gainova Mariya Afanas'evna (1888-1966) - collective farmer. Education: In 1949 I had graduated the high school with a gold medal. In 1949 I had joined the Ivanovo State Pedagogical Institute. In 1953 I had graduated with a first-class honours degree the physico-mathematical faculty of the Ivanovo State Pedagogical Institute. In 1953 - 1956 I was a postgraduate student of Higher algebra Chair of the Ivanovo State Pedagogical Institute institute.

43. Rings Broader equivalent Commutative rings and algebras (13XX) Major overlap with Associativerings and algebras (16-XX) nonassociative rings and algebras (17-XX). http://www.renardus.org/cgi-bin/genDDCbrowseSQL.pl?node=AASYR

44. Renardus Search Results XX Linear and multilinear algebra (MSC2000); matrix theory (MSC2000); 16XX Associativerings and algebras (MSC2000); 17-XX nonassociative rings and algebras http://www.renardus.org/cgi-bin/egwcgi/egwirtcl/screen.tcl/name=ShowHits&lang=en

45. Failures On Equality Theorems 6-10 Theorems EQ9 and EQ-10. On Moufang identities in nonassociative rings(EQ-9), and on right alternative nonassociative rings (EQ-10). http://www-fp.mcs.anl.gov/~lusk/papers/contest/node7.html

Next: Summary of Otter Outputs Up: An Entry in the Contest Previous: Description of the Settings Failures on Equality Theorems 6-10 Theorem EQ-6. Otter found a proof, but the settings were different from those used in theorems EQ-1 through EQ-5. The important difference is that the initial set of support consists of the denial only (so that all generated clauses are negative), and paramodulation is allowed into both arguments of equality literals. The following input file causes Otter to find a proof of EQ-6 in about 27 seconds. Theorem EQ-7. Rings in which x x are commutative. As far as we know, Otter has never found a proof of this theorem, except with highly specialized settings and weight templates. We suspect that with associative-commutative unification, Otter would be able to prove it. Theorem EQ-8. This theorem is much more difficult than EQ-6, and the strategy above that works for EQ-6 fails for EQ-8. The kernel method [ ], which was developed for this type of problem, finds a proof of EQ-8 within a few seconds. Theorems EQ-9 and EQ-10.

46. Www.math.umass.edu/Fac_Staff_Students/Faculty/Martindale/publ Baxter). 26 1979 Central closure of semiprime nonassociative rings,Communications in Algebra, 7, 11031132 (with WE Baxter). 27 http://www.math.umass.edu/Fac_Staff_Students/Faculty/Martindale/publ

PUBLICATION LIST OF WALLACE S. MARTINDALE, 3rd [1] 1958 The structure of a special class of rings, Proc. Amer. Math. Soc., 9, 714-721. [2] 1960 The commutativity of a special class of rings, Can. J. Math., 12, 263-268. [3] 1961 Primitive algebras with involution, Pac. J. Math., 11, 1431-1441. [4] 1963 Lie isomorphisms of primitive rings, Proc. Amer. Soc., 14, 909-916. [5] 1964 Lie derivations of primitive rings, Mich. Math. J., 11, 183-187. [6] 1967 Jordan homomorphisms of the symmetric elements of a ring with involutions, J. of Algebra, 5, 232- 249. [7] 1968 Rings with involution and polynomial identities, Can. J. Math., 20, 465-473 (with W. E. Baxter). [8] 1969 Rings with involution and polynomial identities, J. of Algebra, 11, 186-194. [9] 1969 Lie isomorphisms of simple rings, J. London Math. Soc., 44, 213-221. [1O] 1969 Prime rings satisfying a generalized polynomial identity, J. of Algebra, 12, 576-584. [11] 1969 When are multiplicative mappings additive?, Proc. Amer. Math. Soc., 21, 695-698. [12] 1969 Lie isomorphisms of prime rings, Trans. Amer. Math. Soc., 142, 437-455. [13] 1970 Primitive rings with involution whose symmetric elements satisfy a generalized polynomial identity, Proc. Amer. Math. Soc., 24, 508-511. [14] 1972 Prime rings with involution and generalized polynomial identities, J. Algebra, 22, 502-516. [15] 1972 A note on generalized polynomial identities, Bull. Can. Math. Soc., 15, 605-606. [16] 1973 On semiprime P. I. Rings, Proc. Amer. Math. Soc., 40, 365-369. [17] 1974 A note on Lie isomorphisms, Can. Math. Bull., 17, 243-245. [18] 1975 Prime nonassociative algebras, Pacific J. Math., 6O, 49-63 (with J. M. Osborn and T. S. Erickson). [19] 1975 Lie isomorphisms of the skew elements of a simple ring with involution, J. Algebra, 36, 408-415. [20] 1975 Primitive rings with involution and pivotal monomials, Israel J. Math., 22, 118-126 (with P. C. Desmarais). [21] 1976 Lie isomorphisms of the skew elements of a prime ring with involution, Communications in Algebra, 4, 929-977. [22] 1976 Lie and Jordan mappings in associative rings, Proceedings of Ohio University conference on ring theory, , Marcel Dekker. [23] 1977 Fixed rings of Jordan automorphisms of associative rings, Pac. J. Math., 72, 181-196 (with M. S. Montgomery). [24] 1977 Fixed rings of automorphisms and the Jacobson radical, J. London Math. Soc., 17, 42-46. [25] 1979 Jordan homomorphisms of semiprime rings, J. Algebra, 56, 451-471 (with W. E. Baxter). [26] 1979 Central closure of semiprime nonassociative rings, Communications in Algebra, 7, 1103-1132 (with W.E. Baxter). [27] 1979 Generalized identities and rings with involutions, Antwerp Conference in Ring Theory. [28] 1980 Generalized rational identities and rings with involution, Israel J. Math., 36, 187-192 (with P. C. Desmarais). [29] 1982 The extended center of coproducts, Can. Math. Bull. 25, 245-248. [30] 1982 Lie and Jordan mappings, Contemporary Mathematics 13, 173-177. [31] 1982 The extended centroid in *-prime rings, Communications in Algebra 10, 847-874 (with W. E. Baxter). [32] 1983 The normal closure of coproducts of domains, J. Algebra 82, 1-17 (with S. Montgomery). [33] 1983 Iterates of derivations of prime rings, Pacific J. Math., 104, 179-190 (with C. R. Miers). [34] 1984 The extended center of the coproduct of rings over a division ring, Com. in Algebra 12, 2067-2080 (with A. I. Lichtman). [35] 1985 The normal closure of the coproduct of domains over a division ring, Com. in Algebra 13. 1643- 1664, (with A. I. Lichtman) [36] 1985 The extended centroid in semiprime rings with involution, Com. in Algebra 13, 945-985 (with W. E. Baxter). [37] 1986 Herstein's Lie Theory Revisited, J. Algebra, 98 14-37,. (with C. R. Miers). [38] 1986 The normal closure of the coproduct of rings over a division ring, Trans. Amer. Math. Soc., 293. [39] 1987 Centraliziing mappings of semiprime rings, Canad. Math. Bull. 3O, 92-1OO (with H E. Bell). [4O] 1987 A note on nilpotent Jordan rings, Canad. Math. Bull. 3O, 399-4O1. [41] 1988 Imbedding nondegenerate Jordan algebras in semiprimitive algebras, Proc. Amer. Math. Soc. 1O3, 1-6 (with K. McCrimmon). [42] 1988 Semiderivations and commutativity in prime rings, Canad. Math. Bull. 31, 5OO-5O8 (with H. E. Bell). [43] 1989 Nilpotency and generalized Lie ideals, J. Algebra 127, 244-254 (with C. R. Miers). [44] 1989 X-inner derivations of coproducts, Israel Math. Conf. Proc. 1, 234-241. [45] 199O Jordan homomorphisms onto nondegenerate Jordan algebras, J. Algebra, 133, 5OO-511. [46] 1990 Extended centroids of power series rings, Glasgow Math J. 32 371-375. (with M. P. Rosen and J. D. Rosen). [47] 1991 The symmetric ring of quotients of the coproduct of rings, J. Algebra 143, 295-306. [48] 1991 Nilpotent inner derivations of the skew elements of prime rings with involution, Canad. J. Math. 43, 1045-1054 (with C. R. Miers). [49] 1992 Generalized Lie ideals in *-prime rings J. Algebra 152, 94-115 (with C. R. Miers). ACCEPTED: [50] Centralizing maps in prime rings with involution, J. Algebra (with M. Bresar and C. R. Miers). [51] Some linear identities in prime rings with involution Com. in Algebra (with M. Bresar and C. R. Miers). [52] Lie isomorphisms in prime rings with involution (with K. I. Beidar and A. V. Mikhalev), J. Algebra. 10/93 (kd)

47. Mathlinks.info - Abstract Algebra -3 Journals; Journal of Lie Theory Other Resources; nonassociative rings and Algebras Pages (D Rusin - The Mathematical Atlas - Northern Illinois University); http://www.mathlinks.info/em003_abstract_algebra3.htm

Journals Algebra and Logic Algebra Universalis Contributions to Algebra and Geometry e-Edition Electronic Journal of Linear Algebra International Journal of Algebra and Computation Journal of Algebra Journal of Algebraic Combinatorics ... Representation Theory e-Journal Theory and Applications of Categories K-theory Articles / Courses / Lectures / Texts / Tutorials An Introduction to Algebraic K-Theory Downloadable Textbook (C Weibel - Rutgers University) Other Resources K-Theory Journal K-Theory Pages (D Rusin - The Mathematical Atlas - Northern Illinois University) K-Theory Preprint Archive (University of Illinois at Urbana - Champaign) K-Theory and Algebraic Groups Network Resources (University of Bielefeld) K-Theory and Homology e-Print Archive (Los Alamos National Laboratory) K-Theory and Homology Preprint Archive (Front for the Mathematics ArXiv - University of California at Davis) Lattice Theory Catalogue of Lattices Pages Lattice Theory Homepage Resources (R Freese - University of Hawaii) Order, Lattices, Ordered Algebraic Structures Pages (D Rusin - The Mathematical Atlas - Northern Illinois University) Universal Algebra and Lattice Theory Bibliography Database (R Freese - University of Hawaii) Lie Theory Articles / Courses / Lectures / Texts / Tutorials Marius Sophus Lie Biography (MacTutor History of Mathematics Archives - University of St. Andrews)

48. Posters By MSC Associative rings and algebras 17. nonassociative rings and algebras 18. Categorytheory; homological algebra 19. 17. nonassociative rings and algebras. http://www.mathematik.uni-bielefeld.de/~rehmann/ECM/cdrom/3ecm/pdfs/pant2/2e/msc

49. Mathematical Review 1991 Subject Classification infinite)}; 16XX Associative rings and algebras, {For the commutativecase, See 13-XX}; 17-XX nonassociative rings and algebras; 18 http://www.divms.uiowa.edu/MR/MR.html

1991 Mathematics Subject Classification This is version 1.1 (January 1995) of a hypertext version of the MSC, prepared by Chris Eilbeck of Heriot-Watt University , Edinburgh. If you have any comments regarding this implementation, please email the author (chris@ma.hw.ac.uk), quoting the version number. And in case you're wondering, he didn't type in all the 2647 hyperlinks himself, he wrote a Perl programme to process the index automatically. Those readers situated in North America may find it quicker to use the version at http://e-math.ams.org/web/mr/MSC/MSC.html , though currently this site is running version 1.0. An introduction to the current (1991) MSC, and instructions on how to use it, are available. 00-XX General 01-XX History and biography 03-XX Mathematical logic and foundations 04-XX Set theory ... 58-XX . For abstract harmonic analysis, See 43-XX 26-XX Real functions 28-XX Measure and integration, 58-XX ... 33-XX deals with the properties of functions as functions. For orthogonal functions, See also ; for aspects of combinatorics, See ; for number-theoretic aspects, See

50. UW Department Of Mathematics Faculty Benkart , Georgia, Prof Yale University, 1974 817 Van Vleck, 2623734 benkart@math.wisc.eduResearch Associative and nonassociative rings and Algebras. http://www.math.wisc.edu/~apache/psdbfaculty.html

UW Department of Mathematics Faculty Directory Mon Mar 17 10:10:08 CST 2003 For corrections please notify recep@math.wisc.edu Dir Fellows Graduate Students ... Academic Staff Faculty All Faculty Pictures Department Home Name Details Adem , Alejandro Prof Princeton University, 1986 825 Van Vleck, 263-1161 adem@math.wisc.edu Research: Algebraic Topology Aguade , Jaume Visiting Prof. 623 Van Vleck, 263-5564 aguade@math.wisc.edu Ahern , Patrick Prof University of Minnesota, 1963 723 Van Vleck, 262-2926 ahern@math.wisc.edu Research: Complex Analysis Angenent , Sigurd Prof University of Leiden, 1986 617 Van Vleck, 263-3131 angenent@math.wisc.edu Research: Partial Differential Equations Askey , Richard Prof Princeton University, 1961 605 Van Vleck, 262-2880 askey@math.wisc.edu Research: Special Functions, Orthogonal Polynomials Assadi , Amir Prof Princeton University, 1978

51. 1991 Mathematical Subject Classification infinite)}; 16XX Associative rings and algebras, {For the commutativecase, see 13-XX}; 17-XX nonassociative rings and algebras; 18 http://openlib.org/home/krichel/lis565p01a/

1991 Mathematics Subject Classification The 1991 Mathematics Subject Classification (MSC) has been completely revised and replaced by the 2000 Mathematics Subject Classification. Browse the 1991 MSC 00-XX General 01-XX History and biography 03-XX Mathematical logic and foundations 04-XX Set theory ... 58-XX . For abstract harmonic analysis, see 43-XX 26-XX Real functions 28-XX Measure and integration, 58-XX ... 33-XX deals with the properties of functions as functions. For orthogonal functions, See also ; for aspects of combinatorics, see ; for number-theoretic aspects, see 11-XX ; for representation theory, see 34-XX Ordinary differential equations 35-XX Partial differential equations 39-XX Finite differences and functional equations 40-XX Sequences, series, summability ... 41-XX Approximations and expansions, and and 42-XX Fourier analysis 43-XX Abstract harmonic analysis, 44-XX Integral transforms, operational calculus, . For Fourier transforms, see . For integral transforms in distribution spaces, see . For numerical methods, see 45-XX Integral equations 46-XX Functional analysis,

52. Search The 2000 MSC and multilinear algebra; matrix theory 16XX Associative rings and algebras {Forthe commutative case, see 13-XX} 17-XX nonassociative rings and algebras 18-XX http://aux.planetmath.org/msc/

Search the 2000 MSC (Case insensitive substrings, use '-' to exclude) leaves only Browse the 2000 MSC 00-XX General 01-XX History and biography [See also the classification number -03 in the other sections] 03-XX Mathematical logic and foundations 05-XX 06-XX Order, lattices, ordered algebraic structures [See also 08-XX General algebraic systems 11-XX Number theory 12-XX Field theory and polynomials 13-XX Commutative rings and algebras 14-XX Algebraic geometry 15-XX Linear and multilinear algebra; matrix theory 16-XX 13-XX 17-XX Nonassociative rings and algebras 18-XX , for associative rings , for groups , for topological groups and related structures ; see also and 19-XX $K$-theory [See also 20-XX Group theory and generalizations 22-XX 58-XX . For abstract harmonic analysis, see 43-XX 26-XX Real functions [See also 28-XX 58-XX 30-XX 58-XX ... 33-XX ; for aspects of combinatorics, see ; for number-theoretic aspects, see 11-XX ; for representation theory, see 34-XX Ordinary differential equations 35-XX Partial differential equations 37-XX Dynamical systems and ergodic theory [See also 70-XX 39-XX Difference and functional equations 40-XX Sequences, series, summability

53. Browse Preprints Japanese Association of Mathematical Sciences, Osaka.Category Science Math Publications Institutional Collections...... 14XX Algebraic geometry 15-XX Linear and multilinear algebra; matrix theory 16-XXAssociative rings and algebras 17-XX nonassociative rings and algebras 18-XX http://www.jams.or.jp/preprints/browse.html

JAMS Electronic Preprint Service Browse Preprints by Mathematical Subject Classification HOME UP PREV NEXT ... Back to JAMS Home Page Maintained by webmaster@jams.or.jp

54. MSC 17-XX JAMS Electronic Preprint Service. 17XX nonassociative rings and algebras. HOME UP PREV NEXT Back to JAMS Home Page Maintained by webmaster@jams.or.jp http://www.jams.or.jp/preprints/MSC/17/

JAMS Electronic Preprint Service 17-XX: Nonassociative rings and algebras HOME UP PREV NEXT ... Back to JAMS Home Page Maintained by webmaster@jams.or.jp

55. Mathematics / University Of Turku 17, nonassociative rings and algebras. 17A, General nonassociative rings. 17B,Lie algebras and Lie superalgebras. 17D, Other nonassociative rings and algebras. http://www.math.utu.fi/tutkielmat/luokittelu.htm

Luokitus 2000 Mathematics Subject Classification (MSC) Pro gradu -tutkielmat vuosilta 1986-1989 Pro gradu -tutkielmat 1990-luvulta Pro gradu -tutkielmat 2000-luvulta Alakoodit Nimi General General and miscallaneous specific topics Conference proceedings and collections of papers History and biography History of mathematics and mathematicians Mathematical logic and foundations Philosophical and critical General logic Model theory Computability and recursion thery Set theory Proof theory and constructive mathematics Algebraic logic Nonstandard models Combinatorics Enumerative combinatorics Desings and configurations Graph theory Extremal combinatorics Algebraic combinatorics Order, lattices, ordered algebraic structures Ordered sets Lattices Modular lattices, complemented lattices Distributive lattices Boolean algebras Ordered structures General algebraic systems Algebraic structures Varieties Other classes of algebras Number theory Elementary number theory Sequences and sets Polynomials and matrices Diophantine equations Forms and linear algebraic groups Discontinuous groups and automorphic forms Arithmetic algebraic geometry Geometry of numbers Diophantine approximations, transcendental number theory

56. Mathematik-Klassifikation GEOMETRY AMS 15 LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY AMS 16 ASSOCIATIVERINGS AND ALGEBRAS AMS 17 nonassociative rings AND ALGEBRAS AMS 18 http://www.ub.uni-heidelberg.de/helios/fachinfo/www/math/ams1.htm

Search in Mathematics Subject classification Word(s): truncate by * or Classification Code: without prefix AMS Mathematik-Klassifikation Die roten Links General Mathematics AMS: 00 GENERAL History and Foundations AMS: 01 HISTORY AND BIOGRAPHY AMS: 03 MATHEMATICAL LOGIC AND FOUNDATIONS AMS: 04 SET THEORY Algebra AMS: 05 COMBINATORICS AMS: 06 ORDER, LATTICES, ORDERED ALGEBRAIC STUCTURES AMS: 08 GENERAL MATHEMATICAL SYSTEMS AMS: 11 NUMBER THEORY AMS: 12 FIELD THEORY AND POLYNOMIALS AMS: 13 COMMUTATIVE RINGS AND ALGEBRAS AMS: 14 ALGEBRAIC GEOMETRY AMS: 15 LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY AMS: 16 ASSOCIATIVE RINGS AND ALGEBRAS AMS: 17 NONASSOCIATIVE RINGS AND ALGEBRAS AMS: 18 CATEGORY THEORY, HOMOLOGICAL ALGEBRA AMS: 19 K-THEORY AMS: 20 GROUP THEORY AND GENERALIZATIONS AMS: 22 TOPOLOGICAL GROUPS, LIE GROUPS Analysis AMS: 26 REAL FUNCTIONS AMS: 28 MEASURE AND INTEGRATION AMS: 30 FUNCTIONS OF A COMPLEX VARIABLE AMS: 31 POTENTIAL THEORY AMS: 32 SEVERAL COMPLEX VARIABLES AND ANALYTIC SPACES AMS: 33 SPECIAL FUNCTIONS AMS: 34 ORDINARY DIFFERENTIAL EQUATIONS AMS: 35 PARTIAL DIFFERENTIAL EQUATIONS AMS: 39 FINITE DIFFERENCES AND FUNCTIONAL EQUATIONS AMS: 40 SEQUENCES, SERIES, SUMMABILITY

57. Systematik In Der Ehemaligen LARS-Datenbank 14 Algebraic Geometry 15 Linear and Multilinear Algebra; Matrix Theory 16 AssociativeRings and Algebras 17 nonassociative rings and Algebras 18 Category Theory http://mathlars.mathematik.uni-muenchen.de/systematik.html

Systematik in der ehemaligen LARS-Datenbank Systematik ab 01.01.1991 Systematik bis 31.12.1990 Systematik ab 01.01.1991 SYSTEMATIK (Modifizierte Form der Mathematics Subject Classification der AMS (Stand 1991)) TABLE OF CONTENTS 00 General 01 History and Biography 03 Mathematical Logic and Foundations 04 Set Theory 05 Combinatories 06 Order, Lattices, Ordered Algebraic Structures 08 General Mathematical Systems 11 Number Theory 12 Field Theory and Polynomials 13 Commutative Rings and Algebras 14 Algebraic Geometry 15 Linear and Multilinear Algebra; Matrix Theory 16 Associative Rings and Algebras 17 Nonassociative Rings and Algebras 18 Category Theory, Homological Algebra 19 K-Theory 20 Group Theory and Generalizitations 22 Topological Groups, Lie Groups 26 Real Functions 28 Measure and Integration 30 Functions of a Complex Variable 31 Potential Theory 32 Several Complex Variables and Analytic Spaces 33 Special Functions 34 Ordinary Differential Equations 35 Partial Differential Equations 39 Finite Differences and Functional Equations 40 Sequences, Series, Summability

58. 17-XX 17XX. nonassociative rings and algebras. 17Axx General nonassociative rings.17Bxx Lie algebras and Lie superalgebras {For Lie groups, see 22Exx}. http://www.mathnet.or.kr/msc/17-XX.html

17-XX Top 17-XX Nonassociative rings and algebras 17-00 General reference works (handbooks, dictionaries, bibliographies, etc.) 17-01 Instructional exposition (textbooks, tutorial papers, etc.) 17-02 Research exposition (monographs, survey articles) 17-03 Historical (must also be assigned at least one classification number from Section 01) 17-04 Explicit machine computation and programs (not the theory of computation or programming) 17-06 Proceedings, conferences, collections, etc. 17-08 Computational methods General nonassociative rings Jordan algebras (algebras, triples and pairs) Other nonassociative rings and algebras Questions or comments regarding this service? Information Center for Mathematical Sciences.

59. Mathematics By Classifications 16 Associative rings and algebras. 17 nonassociative rings and algebras. 18 Categorytheory, homological algebra. 19 Ktheory. 20 Group theory and generalizations. http://www.math.kth.se/~laksov/tools/amsclass.html

00 General 01 History and biography 03 Mathematical logic and foundations 05 Combinatorics 06 Order, lattices, ordered algebraic structures 08 General algebraic systems 11 Number theory 12 Field theory and polynomials 13 Commutative rings and algebras 14 Algebraic geometry 15 Linear and multilinear algebra; matrix theory 16 Associative rings and algebras 17 Nonassociative rings and algebras 18 Category theory, homological algebra 19 K-theory 20 Group theory and generalizations 22 Topological groups, Lie groups 26 Real functions 28 Measure and integration 30 Functions of a complex variable 31 Potential theory 32 Several complex variables and analytic spaces 33 Special functions 34 Ordinary differential equations 35 Partial differential equations 37 Dynamical systems and ergodic theory 39 Finite differences and functional equations 40 Sequences, series, summability 41 Approximations and expansions 42 Fourier analysis 43 Abstract harmonic analysis 44 Integral transforms, operational calculus 45 Integral equations 46 Functional analysis 47 Operator theory 49 Calculus of variations and optimal control 51 Geometry 52 Convex and discrete geometry 53 Differential geometry 54 General topology 55 Algebraic topology 57 Manifolds and cell complexes 58 Global analysis, analysis on manifolds

60. QA Subject List Monte Carlo method, 65, QA 298. Multilinear algebra, 15, QA 184. Nonassociativealgebra, 17, QA 252. nonassociative rings, 17, QA 252. Number Theory, 11, QA 241 QA 255. http://www.lib.ucdavis.edu/bioag/math/qaclass.html

MATHEMATICS SUBJECT CLASSIFICATION Return to Home Page A B C D E F ... I J K L M N ... T U V W-Z SUBJECT MATH CLASSIFICATION LC CLASSIFICATION Abbreviations QA 41 Abstract algebra QA 162 Abstract automata QA 267 - QA 272 Abstract harmonic analysis QA 403 Abstract machines QA 267 - QA 272 Algebra - Congresses QA 150 Algebra - Periodicals QA 150 Algebra - Serials QA 150 Algebraic configurations QA 601 - QA 608 Algebraic fields QA 247 Algebraic geometry QA 564 - QA 581 Algebraic numbers QA 247 Algebraic structures, ordered QA 172 Algebraic systems, general QA 162 Algebraic topology QA 612 Analysis QA 299.6 - QA 433 Analysis in manifolds QA 300 Analytic mechanics QA 801 - QA 939 Analytic spaces QA 331 Applied analysis QA 401 - QA 433 Approximations QA 221 Associative algebra QA 251.5 Associative rings QA 251.5 Astronomy QB Astrophysics QB Calculating machines QA 75 Calculus of variations QA 320 Category theory QA 169 Cell complexes QA 613 Classical thermodynamics QC 311 Combinatorial topology QA 612 Combinatorics QA 164 Communication circuits TK 5103 Commutative algebras QA 251.3

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