Kaplansky, Irving 19172006
Overview
Works:  98 works in 646 publications in 5 languages and 10,362 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Creator, Bibliographic antecedent 
Classifications:  QA247, 510 
Publication Timeline
.
Most widely held works about
Irving Kaplansky
 The Dirichlet problem by Irving Kaplansky( )
 Kaplansky, Irving : mathematics( )
Most widely held works by
Irving Kaplansky
Commutative rings by
Irving Kaplansky(
Book
)
60 editions published between 1965 and 1994 in English and Undetermined and held by 1,141 WorldCat member libraries worldwide
Handwritten notes were added in black ink by the author after publishing, some are corrections and some are additions
60 editions published between 1965 and 1994 in English and Undetermined and held by 1,141 WorldCat member libraries worldwide
Handwritten notes were added in black ink by the author after publishing, some are corrections and some are additions
Fields and rings by
Irving Kaplansky(
Book
)
49 editions published between 1964 and 1995 in English and held by 1,009 WorldCat member libraries worldwide
49 editions published between 1964 and 1995 in English and held by 1,009 WorldCat member libraries worldwide
Set theory and metric spaces by
Irving Kaplansky(
Book
)
35 editions published between 1972 and 2008 in English and Undetermined and held by 979 WorldCat member libraries worldwide
35 editions published between 1972 and 2008 in English and Undetermined and held by 979 WorldCat member libraries worldwide
Infinite Abelian groups by
Irving Kaplansky(
Book
)
68 editions published between 1950 and 2018 in English and Undetermined and held by 910 WorldCat member libraries worldwide
In the Introduction to this concise monograph, the author states his two main goals: first, "to make the theory of infinite abelian groups available in a convenient form to the mathematical public; second, to help students acquire some of the techniques used in modern infinite algebra." Suitable for advanced undergraduates and graduate students in mathematics, the text requires no extensive background beyond the rudiments of group theory. Starting with examples of abelian groups, the treatment explores torsion groups, Zorn's lemma, divisible groups, pure subgroups, groups of bounded order, and direct sums of cyclic groups. Subsequent chapters examine Ulm's theorem, modules and linear transformations, Banach spaces, valuation rings, torsionfree and complete modules, algebraic compactness, characteristic submodules, and the ring of endomorphisms. Many exercises appear throughout the book, along with a guide to the literature and a detailed bibliography
68 editions published between 1950 and 2018 in English and Undetermined and held by 910 WorldCat member libraries worldwide
In the Introduction to this concise monograph, the author states his two main goals: first, "to make the theory of infinite abelian groups available in a convenient form to the mathematical public; second, to help students acquire some of the techniques used in modern infinite algebra." Suitable for advanced undergraduates and graduate students in mathematics, the text requires no extensive background beyond the rudiments of group theory. Starting with examples of abelian groups, the treatment explores torsion groups, Zorn's lemma, divisible groups, pure subgroups, groups of bounded order, and direct sums of cyclic groups. Subsequent chapters examine Ulm's theorem, modules and linear transformations, Banach spaces, valuation rings, torsionfree and complete modules, algebraic compactness, characteristic submodules, and the ring of endomorphisms. Many exercises appear throughout the book, along with a guide to the literature and a detailed bibliography
Matters mathematical by
I. N Herstein(
Book
)
26 editions published between 1974 and 1978 in English and held by 880 WorldCat member libraries worldwide
26 editions published between 1974 and 1978 in English and held by 880 WorldCat member libraries worldwide
Linear algebra and geometry : a second course by
Irving Kaplansky(
Book
)
29 editions published between 1969 and 2003 in English and held by 861 WorldCat member libraries worldwide
29 editions published between 1969 and 2003 in English and held by 861 WorldCat member libraries worldwide
Rings of operators by
Irving Kaplansky(
Book
)
33 editions published between 1955 and 1968 in English and held by 693 WorldCat member libraries worldwide
33 editions published between 1955 and 1968 in English and held by 693 WorldCat member libraries worldwide
Lie algebras and locally compact groups by
Irving Kaplansky(
Book
)
37 editions published between 1971 and 2004 in 4 languages and held by 601 WorldCat member libraries worldwide
37 editions published between 1971 and 2004 in 4 languages and held by 601 WorldCat member libraries worldwide
An introduction to differential algebra by
Irving Kaplansky(
Book
)
36 editions published between 1955 and 1996 in 3 languages and held by 467 WorldCat member libraries worldwide
36 editions published between 1955 and 1996 in 3 languages and held by 467 WorldCat member libraries worldwide
Selected papers by
Saunders Mac Lane(
Book
)
15 editions published between 1979 and 2017 in English and German and held by 446 WorldCat member libraries worldwide
15 editions published between 1979 and 2017 in English and German and held by 446 WorldCat member libraries worldwide
Finite groups. [Proceedings of a Symposium in Pure Mathematics of the American Mathematical Society by
Finite Groups Symposium(
Book
)
22 editions published between 1959 and 2012 in English and held by 420 WorldCat member libraries worldwide
22 editions published between 1959 and 2012 in English and held by 420 WorldCat member libraries worldwide
Some aspects of analysis and probability(
Book
)
12 editions published in 1958 in English and held by 413 WorldCat member libraries worldwide
12 editions published in 1958 in English and held by 413 WorldCat member libraries worldwide
Algebraic and analytic aspects of operator algebras by
Irving Kaplansky(
Book
)
18 editions published in 1970 in English and Undetermined and held by 406 WorldCat member libraries worldwide
18 editions published in 1970 in English and Undetermined and held by 406 WorldCat member libraries worldwide
Selected papers and other writings by
Irving Kaplansky(
Book
)
10 editions published between 1995 and 2014 in English and held by 204 WorldCat member libraries worldwide
10 editions published between 1995 and 2014 in English and held by 204 WorldCat member libraries worldwide
A survey of operator algebras by
Irving Kaplansky(
Book
)
6 editions published in 1971 in English and held by 187 WorldCat member libraries worldwide
6 editions published in 1971 in English and held by 187 WorldCat member libraries worldwide
Notes on ring theory by
Irving Kaplansky(
Book
)
21 editions published between 1955 and 1965 in English and Undetermined and held by 117 WorldCat member libraries worldwide
21 editions published between 1955 and 1965 in English and Undetermined and held by 117 WorldCat member libraries worldwide
Homological dimension of rings and modules by
Irving Kaplansky(
Book
)
12 editions published between 1958 and 1959 in English and held by 99 WorldCat member libraries worldwide
12 editions published between 1958 and 1959 in English and held by 99 WorldCat member libraries worldwide
Topics in commutative ring theory by
Irving Kaplansky(
Book
)
8 editions published in 1974 in English and held by 74 WorldCat member libraries worldwide
8 editions published in 1974 in English and held by 74 WorldCat member libraries worldwide
Bialgebras by
Irving Kaplansky(
Book
)
7 editions published in 1975 in English and held by 68 WorldCat member libraries worldwide
7 editions published in 1975 in English and held by 68 WorldCat member libraries worldwide
Hilbert's problems : preliminary edition by
Irving Kaplansky(
Book
)
8 editions published between 1922 and 1977 in English and Undetermined and held by 55 WorldCat member libraries worldwide
8 editions published between 1922 and 1977 in English and Undetermined and held by 55 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Herstein, I. N. Author
 Berberian, Sterling K. 1926 Author Editor
 Mac Lane, Saunders 19092005 Author
 Albert, A. Adrian (Abraham Adrian) 19051972 Editor
 Conference Board of the Mathematical Sciences
 American Mathematical Society Publisher Editor
 Chern, S. S. Author
 Fortet, Robert
 Hewitt, Edwin
 Hall, Marshall (19101990)
Useful Links
Associated Subjects
Abelian groups Algebra Algebra, Abstract Algebra, Homological Algebraic fields Algebras, Linear Banach algebras C*algebras Canada College teachers Commutative rings Differential algebra Differential equations Division rings EducationCurricula Finite groups Galois theory Geometry Group theory Harvard University Hilbert space Homology theory Hopf algebras Ideals (Algebra) Lattice theory Lie algebras Locally compact groups Mathematical analysis Mathematicians Mathematics Metric spaces Modules (Algebra) Nonassociative algebras Operator algebras Probabilities Rings (Algebra) Scientists Set theory Topological groups United States Von Neumann algebras
Covers
Alternative Names
Irving Kaplansky amerikansk matematikar
Irving Kaplansky amerikansk matematiker
Irving Kaplansky Canadees wiskundige (19172006)
Irving Kaplansky matemàtic canadenc
Irving Kaplansky matemático canadense
Irving Kaplansky matematico canadese
Irving Kaplansky matemático canadiense
Irving Kaplansky mathématicien américain
Irving Kaplansky USamerikanischer Mathematiker
Kaplanskij, I.
Kaplanskij, I. 19172006
Kaplansky, I.
Kaplansky, I. 1917
Kaplansky, I. 19172006
Kaplansky, I. (Irving), 1917
Kaplansky, I. (Irving), 19172006
Kaplansky, Irving
Kaplansky, Irving, 1917
Ирвинг Капланский канадский и американский математик
Капланский, И.
Капланский, И 19172006
Իրվինգ Կապլանսկի
ایروینق کاپلانسکی
ایروینگ کاپلانسکی ریاضیدان آمریکایی
어빙 커플랜스키
アーヴィング・カプランスキー
厄文·卡普兰斯基
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