Selected Papers and Other Writings

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Author(s): Irving Kaplansky
Publisher: Springer
Year: 1995

Language: English

Title
Preface
Contents
Bibliography of the Publications of Irving Kaplansky
Introduction
[2] Maximal Fields with Valuations
[5] Solution of the "Probléme des Ménages"
[8] A Contribution to von Neumann‘s Theory of Games
[22] Lattices of Continuous Functions
[25] Locally Compact Rings
[28] Rings with a Polynomial Identity
[39] The Weierstrass Theorem in Fields with Valuations
[42] Projections in Banach Algebras
[43] A Theorem on Division Rings
[44] A Theorem on Rings of Operators
[47] The Structure of Certain Operator Algebras
[49] A Generalization of Ulm’s Theorem
[56] Modules Over Dedekind Rings and Valuation Rings
[58] Products of Normal Operators
[65] Any Orthocomplemented Complete Modular Lattice is a Continuous Geometry
[68] Projective Modules
[79] The Homological Dimension of a Quotient Field
[80] Composition of Binary Quadratic Forms
[93] Adjacent Prime Ideals
[110] Superalgebras
[119] Algebraic Polar Decomposition
[120] Nilpotent Elements in Lie Algebras
[A] The Euclidean Algorithm
[B] Factorial Monoids
[C] Partially Ordered Sets and the Burali-Forti Paradox
[D] Comments on Prime Ideals in Nonassociative Rings
[E] Nilpotent and Unipotent Elements in Rickart Rings
[F] A Theorem on Graded Algebras
[G] The Number of Solutions of x^3 + y^3 = 1 in the Integers mod p
[H] Commutativity Revisited
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