Selected Papers and Other Writings: Springer Collected Works in Mathematics
Autor Irving Kaplanskyen Limba Engleză Paperback – 14 noi 2013
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Specificații
ISBN-13: 9781461494522
ISBN-10: 1461494524
Pagini: 276
Ilustrații: XVIII, 257 p. 1 illus.
Dimensiuni: 155 x 235 x 14 mm
Greutate: 0.39 kg
Ediția:1st ed. 1995. Reprint 2013 of the 1995 edition
Editura: Springer
Colecția Springer
Seria Springer Collected Works in Mathematics
Locul publicării:New York, NY, United States
ISBN-10: 1461494524
Pagini: 276
Ilustrații: XVIII, 257 p. 1 illus.
Dimensiuni: 155 x 235 x 14 mm
Greutate: 0.39 kg
Ediția:1st ed. 1995. Reprint 2013 of the 1995 edition
Editura: Springer
Colecția Springer
Seria Springer Collected Works in Mathematics
Locul publicării:New York, NY, United States
Public țintă
ResearchCuprins
[2] Maximal Fields with Valuations.- [5] Solution of the “Problème 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.- Other Writings.- [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 x3 + y3 = 1 in the Integers mod p.- [H] Commutativity Revisited.- Permissions.
Recenzii
From the reviews:
“Kaplansky’s Selected Papers and Other Writings was originally published in 1995. The selection was presumably made by Kaplansky, who also adds ‘afterthoughts’ to each of the papers. … this volume is especially attractive. Kaplansky writes very well, and as a result many of these papers are easy to read. … readable by undergraduates and could serve as the seed of interesting research projects. And several of the papers are classics.” (Fernando Q. Gouvêa, MAA Reviews, December, 2013)
“Kaplansky’s Selected Papers and Other Writings was originally published in 1995. The selection was presumably made by Kaplansky, who also adds ‘afterthoughts’ to each of the papers. … this volume is especially attractive. Kaplansky writes very well, and as a result many of these papers are easy to read. … readable by undergraduates and could serve as the seed of interesting research projects. And several of the papers are classics.” (Fernando Q. Gouvêa, MAA Reviews, December, 2013)