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Commutative normed rings

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Published by AMS Chelsea Publishing in Providence, RI .
Written in English


  • Banach algebras.

Book details:

Edition Notes

StatementI. Gelfand, D. Raikov, and G. Shilov.
ContributionsRaĭkov, D. A., Shilov, G. E.
LC ClassificationsQA320 .G3613 2003
The Physical Object
Pagination306 p. :
Number of Pages306
ID Numbers
Open LibraryOL19706908M
ISBN 100821820222
LC Control Number99015532

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This book is very clearly written and I like Kaplansky's style. On the other hand, it provides no motivation at all and no connection to geometric ideas. It also gives hardly a single example. This is a perspective that is still very strange to me: why would someone write a book about rings without actually mentioning any rings?/5. You can write a book review and share your experiences. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. From the Preface (): ""This book is devoted to an account of one of the branches of functional analysis, the theory of commutative normed rings, and the principal applications of that : Gebundenes Buch. Commutative Normed Rings 作者: I. Gelfand 出版社: American Mathematical Society 出版年: 页数: 定价: USD 装帧: Hardcover ISBN:

  Synopsis From the Preface (): "This book is devoted to an account of one of the branches of functional analysis, the theory of commutative normed rings, and the principal applications of Author: I. Gelfand, D. Raikov, G. Shilov. with an associative multiplication that is distributive over the addition. Throughout this book, every ring has a multiplicative identity, denoted by 1. Further, every ring is commutative (that is, xy = yxin it), with an occasional exception, which is always marked (normally, it’s a ring of matrices).File Size: 1MB. A ring is a set R equipped with two binary operations, i.e. operations combining any two elements of the ring to a are called addition and multiplication and commonly denoted by "+" and "⋅"; e.g. a + b and a ⋅ form a ring these two operations have to satisfy a number of properties: the ring has to be an abelian group under addition as well as a monoid under multiplication. Commutative Normed Rings (AMS Chelsea Publishing) (English and Russian Edition) I. Gelfand Published by Brand: American Mathematical Society ().

Shilov G () On decomposition of a commutative normed ring in a direct sum of ideals. Mat Sb 74(2)– Shilov GE () Analytic functions in a normed ring. In addition to being an interesting and profound subject in its own right, commutative ring theory is important as a foundation for algebraic geometry and complex analytical geometry. Matsumura covers the basic material, including dimension theory, depth, Cohen-Macaulay rings, Gorenstein rings, Krull rings and valuation rings. sions, symmetric polynomials, trace and norm, free abelian groups of finite rank, and Noetherian modules, which might not be familiar to some readers. So we include most of necessary proofs for the reader’s convenience. 0. Conventional Review In this book all rings are commutative associative rings with identity 1, and throughout the text,File Size: 6MB. Starting from a complete normed commutative ring A, we study the ring A{x} of all formal power series with coefficients in A converging to zero. This is again a complete normed ring (Lemma ). We prove an analog of the Weierstrass division theorem (Lemma ) and the Weierstrass preparation theorem for A{x} (Corollary ).