Herstein, I. N.
Overview
Works:  45 works in 421 publications in 6 languages and 8,274 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other 
Classifications:  QA247, 512.815 
Publication Timeline
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Most widely held works about
I. N Herstein
 Variations on a theme by Herstein by Charles Louis Smith( )
 Vandiver, H.S., Papers by Harry Schultz Vandiver( )
Most widely held works by
I. N Herstein
Topics in algebra by
I. N Herstein(
Book
)
123 editions published between 1964 and 2012 in 6 languages and held by 1,995 WorldCat member libraries worldwide
Preliminary notions; Group theory; Ring theory; Vector spaces and modules; Fields; Linear transformations; Selected topics
123 editions published between 1964 and 2012 in 6 languages and held by 1,995 WorldCat member libraries worldwide
Preliminary notions; Group theory; Ring theory; Vector spaces and modules; Fields; Linear transformations; Selected topics
Noncommutative rings by
I. N Herstein(
Book
)
64 editions published between 1968 and 2014 in 3 languages and held by 1,117 WorldCat member libraries worldwide
This beautiful book is the result of the author's wide and deep knowledge of the subject matter, combined with a gift for exposition ... The well selected material is offered in an integrated presentation of the structure theory of noncommutative (associative rings) and its applications. The book will appeal to many a reader. It would be wonderful as a textbook, and in fact, it's based on the author's lecture notes ... Only people looking for the most general form of a particular theorem are advised to turn to other books, but those interested in studying or reviewing its subject matter or looking for a rounded account of it, could do no better than choosing this book for this purpose. Bulletin of the American Mathematical Society Noncommutative Rings provides a crosssection of ideas, techniques and results that give the reader an idea of that part of algebra which concerns itself with noncommutative rings. In the space of 200 pages, Herstein covers the Jacobson radical, semisimple rings, commutativity theorems, simple algebras, representations of finite groups, polynomial identities, Goldie's theorem and the GolodShafarevitch theorem. Almost every practicing ring theorist has studied portions of this classic monograph
64 editions published between 1968 and 2014 in 3 languages and held by 1,117 WorldCat member libraries worldwide
This beautiful book is the result of the author's wide and deep knowledge of the subject matter, combined with a gift for exposition ... The well selected material is offered in an integrated presentation of the structure theory of noncommutative (associative rings) and its applications. The book will appeal to many a reader. It would be wonderful as a textbook, and in fact, it's based on the author's lecture notes ... Only people looking for the most general form of a particular theorem are advised to turn to other books, but those interested in studying or reviewing its subject matter or looking for a rounded account of it, could do no better than choosing this book for this purpose. Bulletin of the American Mathematical Society Noncommutative Rings provides a crosssection of ideas, techniques and results that give the reader an idea of that part of algebra which concerns itself with noncommutative rings. In the space of 200 pages, Herstein covers the Jacobson radical, semisimple rings, commutativity theorems, simple algebras, representations of finite groups, polynomial identities, Goldie's theorem and the GolodShafarevitch theorem. Almost every practicing ring theorist has studied portions of this classic monograph
Matters mathematical by
I. N Herstein(
Book
)
25 editions published between 1974 and 1978 in English and held by 911 WorldCat member libraries worldwide
25 editions published between 1974 and 1978 in English and held by 911 WorldCat member libraries worldwide
Abstract algebra by
I. N Herstein(
Book
)
40 editions published between 1986 and 1999 in 3 languages and held by 767 WorldCat member libraries worldwide
40 editions published between 1986 and 1999 in 3 languages and held by 767 WorldCat member libraries worldwide
Topics in ring theory by
I. N Herstein(
Book
)
31 editions published between 1964 and 1978 in English and Undetermined and held by 592 WorldCat member libraries worldwide
31 editions published between 1964 and 1978 in English and Undetermined and held by 592 WorldCat member libraries worldwide
Introduction to the calculus by
I. N Herstein(
Book
)
8 editions published in 1971 in English and held by 381 WorldCat member libraries worldwide
8 editions published in 1971 in English and held by 381 WorldCat member libraries worldwide
Rings with involution by
I. N Herstein(
Book
)
11 editions published between 1976 and 1977 in English and held by 377 WorldCat member libraries worldwide
11 editions published between 1976 and 1977 in English and held by 377 WorldCat member libraries worldwide
Notes from a ring theory conference by
I. N Herstein(
Book
)
19 editions published in 1971 in English and Undetermined and held by 370 WorldCat member libraries worldwide
19 editions published in 1971 in English and Undetermined and held by 370 WorldCat member libraries worldwide
Matrix theory and linear algebra by
I. N Herstein(
Book
)
14 editions published between 1988 and 1989 in English and held by 229 WorldCat member libraries worldwide
14 editions published between 1988 and 1989 in English and held by 229 WorldCat member libraries worldwide
Theory of rings by
I. N Herstein(
Book
)
21 editions published between 1961 and 1967 in English and Undetermined and held by 219 WorldCat member libraries worldwide
21 editions published between 1961 and 1967 in English and Undetermined and held by 219 WorldCat member libraries worldwide
A primer on linear algebra by
I. N Herstein(
Book
)
8 editions published between 1988 and 1990 in English and held by 135 WorldCat member libraries worldwide
8 editions published between 1988 and 1990 in English and held by 135 WorldCat member libraries worldwide
Álgebra lineal y teoría de matrices by
I. N Herstein(
Book
)
3 editions published between 1988 and 1989 in Spanish and held by 30 WorldCat member libraries worldwide
3 editions published between 1988 and 1989 in Spanish and held by 30 WorldCat member libraries worldwide
Some aspects of ring theory : lectures given at the Centro internazionale matematico estivo (C.I.M.E.) held in Varenna (Como),
Italy, August 2331, 1965 by
I. N Herstein(
Book
)
11 editions published between 2010 and 2011 in English and held by 16 WorldCat member libraries worldwide
11 editions published between 2010 and 2011 in English and held by 16 WorldCat member libraries worldwide
Certain aspects of rings with involution by
I. N Herstein(
Book
)
3 editions published in 1967 in English and held by 15 WorldCat member libraries worldwide
3 editions published in 1967 in English and held by 15 WorldCat member libraries worldwide
Theory of rings [by] I.N. Herstein by
I. N Herstein(
Book
)
3 editions published in 1961 in English and held by 9 WorldCat member libraries worldwide
3 editions published in 1961 in English and held by 9 WorldCat member libraries worldwide
An axiomatic approach to measurable utility by
I. N Herstein(
Book
)
3 editions published between 1952 and 1953 in English and held by 7 WorldCat member libraries worldwide
Previous treatments of this approach brought topological considerations of the prospects space into the axioms. In this paper considerations of the topology of the prospect space itself are removed, the previous axioms are weakened an infinite number of sure prospects are allowed. On the basis of these axioms the existence of a measurable utility is established
3 editions published between 1952 and 1953 in English and held by 7 WorldCat member libraries worldwide
Previous treatments of this approach brought topological considerations of the prospects space into the axioms. In this paper considerations of the topology of the prospect space itself are removed, the previous axioms are weakened an infinite number of sure prospects are allowed. On the basis of these axioms the existence of a measurable utility is established
Nonnegative square matrices by
Gerard Debreu(
Book
)
2 editions published in 1952 in English and held by 6 WorldCat member libraries worldwide
Nonnegative indecomposable matrices are studied from the point of view of the Brouwer fixed point theorem; a concise proof of their basic properties is thus obtained. Properties of a general nonnegative square matrix A are derived from those of nonnegative indecomposable matrices. Theorems about the matrix sIA are proved; they cover in a unified manner a number of results recurringly used in economics. A systematic study of the convergence of A(P) when p tends to infinity (A is a general complex matrix) is linked to combinatorial properties of nonnegative square matrices
2 editions published in 1952 in English and held by 6 WorldCat member libraries worldwide
Nonnegative indecomposable matrices are studied from the point of view of the Brouwer fixed point theorem; a concise proof of their basic properties is thus obtained. Properties of a general nonnegative square matrix A are derived from those of nonnegative indecomposable matrices. Theorems about the matrix sIA are proved; they cover in a unified manner a number of results recurringly used in economics. A systematic study of the convergence of A(P) when p tends to infinity (A is a general complex matrix) is linked to combinatorial properties of nonnegative square matrices
Some mathematical methods and techniques in economics by
I. N Herstein(
Book
)
2 editions published in 1953 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1953 in English and held by 4 WorldCat member libraries worldwide
Student's solution manual [for] Abstract algebra by
I. N Herstein(
Book
)
1 edition published in 1986 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1986 in English and held by 4 WorldCat member libraries worldwide
Notes from a Ring Theory Conference by
I. N Herstein(
)
1 edition published in 2007 in English and held by 0 WorldCat member libraries worldwide
These notes represent the material presented in the first eight of ten lectures at a CBMS Regional Conference which was held in Norman, Oklahoma, in June 1970. The author chose those results which seemed to him representative of their areas both as a technique and flavor. The main topics are affine rings, rings of quotients, group algebras, W^aalgebras, polynomial identities and their generalizations. In most of the areas touched upon, much work remains to be done; the results developed are merely beginnings of large areas of research that could, or should, be carried out
1 edition published in 2007 in English and held by 0 WorldCat member libraries worldwide
These notes represent the material presented in the first eight of ten lectures at a CBMS Regional Conference which was held in Norman, Oklahoma, in June 1970. The author chose those results which seemed to him representative of their areas both as a technique and flavor. The main topics are affine rings, rings of quotients, group algebras, W^aalgebras, polynomial identities and their generalizations. In most of the areas touched upon, much work remains to be done; the results developed are merely beginnings of large areas of research that could, or should, be carried out
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Related Identities
 Kaplansky, Irving 19172006
 Winter, David J.
 Sandler, Reuben
 Centro internazionale matematico estivo
 Conference Board of the Mathematical Sciences
 University of Chicago Department of Mathematics
 Velasco Coba, Federico Translator
 赫斯泰 (Herstein, I. N.) Author
 University of Chicago
 Debreu, Gerard Author
Useful Links
Associated Subjects
Albert, A. Adrian(Abraham Adrian), Algebra Algebra, Abstract Algebraic fields Algebras, Linear Bell, Eric Temple, Bellman, Richard, Brauer, Richard, Calculus Church, Alonzo, Commutative rings Coxeter, H. S. M.(Harold Scott Macdonald), Determinants Dickson, Leonard E.(Leonard Eugene), Economics, Mathematical Fermat's last theorem Functions Group theory Hasse, Helmut, Herstein, I. N Ideals (Algebra) Lefschetz, Solomon, Mathematics Matrices Moore, Eliakim Hastings, Noncommutative rings Nonnegative matrices Number theory Post, Emil Leon, Rings (Algebra) Rings with involution Vector spaces Waerden, B. L. van der(Bartel Leendert), Whiteman, Albert Leon,
Alternative Names
Cherstejn, I.
Cherstejn, I. 19231988
Herstein, I. 19231988
Herstein, I. E. 19231988
Herstein, I. M 19231988
Herstein, I. N.
Herstein, I. N. 19231988
Herstein, Israel 19231988
Herstein, Israel N.
Herstein, Israel N. 19231988
Herstein, Israel Nathan
Herstein, Yitzchak Nathan 19231988
Herstejn, I.
Israel Herstein USamerikanischer Mathematiker
Israel Nathan Herstein Amerikaans wiskundige (19231988)
Israel Nathan Herstein amerikansk matematikar
Israel Nathan Herstein amerikansk matematiker
Israel Nathan Herstein matematico americano
Israel Nathan Herstein matemático estadounidense
Israel Nathan Herstein mathématicien américain
Izrael Natan Herstein
Херстейн, И.
ישראל הרשטיין
ایزرائل هرشتاین ریاضیدان آمریکایی
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