Кострикин, А. И (Алексей Иванович)Overview
Publication Timeline
Most widely held works by
А. И Кострикин
Algebra I : basic notions of algebra
by I. R Shafarevich
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Book
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19 editions published between 1989 and 2005 in English and held by 481 WorldCat member libraries worldwide This book is wholeheartedly recommended to every student or user of mathematics. Although the author modestly describes his book as 'merely an attempt to talk about' algebra, he succeeds in writing an extremely original and highly informative essay on algebra and its place in modern mathematics and science. From the fields, commutative rings and groups studied in every university math course, through Lie groups and algebras to cohomology and category theory, the author shows how the origins of each algebraic concept can be related to attempts to model phenomena in physics or in other branches
Linear algebra and geometry
by A. I Kostrikin
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Book
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18 editions published between 1988 and 1997 in English and held by 437 WorldCat member libraries worldwide
Algebra II : noncommutative rings, identities
by A. I Kostrikin
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Book
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21 editions published between 1199 and 1991 in English and held by 389 WorldCat member libraries worldwide Volume 2
Around Burnside
by A. I Kostrikin
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Book
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14 editions published between 1990 and 2014 in English and held by 368 WorldCat member libraries worldwide This is a truly encyclopaedic survey of the various aspects of the "restricted Burnside problem" and its surprising applications. Among many other things, it contains a detailed positive solution of the restricted Burnside problem for prime exponent, via Engel Lie algebras and socalled sandwiches. A new appendix to this translation contains a proof by E.I. Zel'manov of the existence of a recursive upper bound for the nilpotency class of a dgenerator finite group of prime exponent p. Informative and illustrative comments grace the end of each chapter, and there is an extensive bibliography
Introduction to algebra
by A. I Kostrikin
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Book
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13 editions published in 1982 in English and held by 322 WorldCat member libraries worldwide
Algebra V : homological algebra
by A. I Kostrikin
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Book
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12 editions published in 1994 in English and held by 265 WorldCat member libraries worldwide
Algebra VI : combinatorial and asymptotic methods of algebra : nonassociative structures
by E. N Kuz'min
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Book
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14 editions published between 1994 and 2011 in English and held by 236 WorldCat member libraries worldwide
Algebra VIII : representations of finitedimensional algebras
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Book
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10 editions published between 1991 and 1992 in English and held by 236 WorldCat member libraries worldwide
Proceedings of the International Conference on Algebra dedicated to the memory of A.I. Malcev
by International Conference on Algebra
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Book
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7 editions published in 1992 in English and held by 203 WorldCat member libraries worldwide
Second International Conference on Algebra : dedicated to the memory of A.I. Shirshov : proceedings of the second International Conference on Algebra, August 2025, 1991, Barnaul, Russua
by International Conference on Algebra
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Book
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6 editions published in 1995 in English and held by 196 WorldCat member libraries worldwide
Algebra IX : finite groups of Lie type, finitedimensional division algebras
by A. I Kostrikin
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Book
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7 editions published between 1996 and 2010 in English and held by 195 WorldCat member libraries worldwide The finite groups of Lie type are of central mathematical importance and the problem of understanding their irreducible representations is of great interest. The representation theory of these groups over an algebraically closed field of characteristic zero was developed by P. Deligne and G. Lusztig in 1976 and subsequently in a series of papers by Lusztig culminating in his book in 1984. The purpose of the first part of this book is to give an overview of the subject, without including detailed proofs. The second part is a survey of the structure of finitedimensional division algebras with many outline proofs, giving the basic theory and methods of construction and then goes on to a deeper analysis of division algebras over valuated fields. An account of the multiplicative structure and reduced Ktheory presents recent work on the subject, including that of the authors. Thus it forms a convenient and very readable introduction to a field which in the last two decades has seen much progress
Algebra IV : infinite groups, linear groups : with 9 figures
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Book
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1 edition published in 1993 in English and held by 177 WorldCat member libraries worldwide
Orthogonal decompositions and integral lattices
by A. I Kostrikin
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Book
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6 editions published in 1994 in English and held by 165 WorldCat member libraries worldwide
Exercises in algebra : a collection of exercises in algebra, linear algebra, and geometry
by Alexei I Kostrikin
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Book
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4 editions published in 1996 in English and held by 127 WorldCat member libraries worldwide
Algebra
by A. I Kostrikin
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Book
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13 editions published in 1993 in English and held by 106 WorldCat member libraries worldwide Group theory is one of the most fundamental branches of mathematics. This volume of the Encyclopaedia is devoted to two important subjects within group theory. The first part of the book is concerned with infinite groups. The authors deal with combinatorial group theory, free constructions through group actions on trees, algorithmic problems, periodic groups and the Burnside problem, and the structure theory for Abelian, soluble and nilpotent groups. They have included the very latest developments; however, the material is accessible to readers familiar with the basic concepts of algebra. The second part treats the theory of linear groups. It is a genuinely encyclopaedic survey written for nonspecialists. The topics covered includethe classical groups, algebraic groups, topological methods, conjugacy theorems, and finite linear groups. This book will be very useful to allmathematicians, physicists and other scientists including graduate students who use group theory in their work
Introduction a l'algebre
by A. I Kostrikin
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Book
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11 editions published between 1981 and 1986 in 3 languages and held by 59 WorldCat member libraries worldwide
Algebra
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Book
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4 editions published in 1991 in English and Undetermined and held by 55 WorldCat member libraries worldwide
Algebra
by Peter Gabriel
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Book
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6 editions published in 1992 in English and held by 41 WorldCat member libraries worldwide
Algebra. : Finitedimensional division algebras
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Book
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6 editions published in 1996 in English and held by 36 WorldCat member libraries worldwide
Vokrug Bernsaĭda
by A. I Kostrikin
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Book
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3 editions published in 1986 in Russian and held by 26 WorldCat member libraries worldwide more
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Related Identities
Associated Subjects
Algebra Algebra, Homological Algebraic topology Algebraic varieties Algebras, Linear Associative algebras Burnside problem Combinatorial analysis Division algebras Finite groups Geometry Geometry, Algebraic Group theory Infinite groups Ktheory Lattice theory Lie algebras Lie groups Linear algebraic groups Mathematics Nonassociative algebras Noncommutative rings Number theory Orthogonal decompositions Representations of algebras Representations of groups Topological groups

Alternative Names
Kostrikin, A.
Kostrikin, A. I.
Kostrikin, Alekseĭ Ivanovich
Kostrikin, Aleksej I.
Kostrikin, Aleksej Ivanovič
Kostrikin, Aleksiej I.
Kostrikin, Alexei I.
Kostrykin, A. I.
Кострикин, Алексей Иванович.
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