Topological Rings Satisfying Compactness Conditions

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Topological Rings Satisfying Compactness Conditions

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Author : M. Ursul
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Topological Rings Satisfying Compactness Conditions written by M. Ursul and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Introduction In the last few years a few monographs dedicated to the theory of topolog ical rings have appeared [Warn27], [Warn26], [Wies 19], [Wies 20], [ArnGM]. Ring theory can be viewed as a particular case of Z-algebras. Many general results true for rings can be extended to algebras over commutative rings. In topological algebra the structure theory for two classes of topological algebras is well developed: Banach algebras; and locally compact rings. The theory of Banach algebras uses results of Banach spaces, and the theory of locally compact rings uses the theory of LCA groups. As far as the author knows, the first papers on the theory of locally compact rings were [Pontr1]' [J1], [J2], [JT], [An], lOt], [K1]' [K2]' [K3], [K4], [K5], [K6]. Later two papers, [GS1,GS2]appeared, which contain many results concerning locally compact rings. This book can be used in two w.ays. It contains all necessary elementary results from the theory of topological groups and rings. In order to read these parts of the book the reader needs to know only elementary facts from the theories of groups, rings, modules, topology. The book consists of two parts.

Equational Compactness In Rings

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Author : D. K. Haley
language : en
Publisher: Springer
Release Date : 2006-11-15

Equational Compactness In Rings written by D. K. Haley and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

Topological Rings

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Author : S. Warner
language : en
Publisher: Elsevier
Release Date : 1993-07-07

Topological Rings written by S. Warner and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-07-07 with Mathematics categories.

This text brings the reader to the frontiers of current research in topological rings. The exercises illustrate many results and theorems while a comprehensive bibliography is also included. The book is aimed at those readers acquainted with some very basic point-set topology and algebra, as normally presented in semester courses at the beginning graduate level or even at the advanced undergraduate level. Familiarity with Hausdorff, metric, compact and locally compact spaces and basic properties of continuous functions, also with groups, rings, fields, vector spaces and modules, and with Zorn's Lemma, is also expected.

Advances In Ring Theory

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Author : Sergio R. López-Permouth
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-28

Advances In Ring Theory written by Sergio R. López-Permouth and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-28 with Mathematics categories.

This volume consists of refereed research and expository articles by both plenary and other speakers at the International Conference on Algebra and Applications held at Ohio University in June 2008, to honor S.K. Jain on his 70th birthday. The articles are on a wide variety of areas in classical ring theory and module theory, such as rings satisfying polynomial identities, rings of quotients, group rings, homological algebra, injectivity and its generalizations, etc. Included are also applications of ring theory to problems in coding theory and in linear algebra.

Compactness Conditions For Functions On Topological Groups

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Author : Justin Randolph Peters
language : en
Publisher:
Release Date : 1972

Compactness Conditions For Functions On Topological Groups written by Justin Randolph Peters and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with categories.

Compactness Conditions In Structure Theory Of Topological Groups

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Author : Siegfried Karl Grosser
language : en
Publisher:
Release Date : 1965

Compactness Conditions In Structure Theory Of Topological Groups written by Siegfried Karl Grosser and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.

Compactness Conditions And Duals Of Topological Groups

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Author : John Robie Liukkonen
language : en
Publisher:
Release Date : 1970

Compactness Conditions And Duals Of Topological Groups written by John Robie Liukkonen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Topological groups categories.

Groups Rings And Algebras

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Author : Donald S. Passman
language : en
Publisher: American Mathematical Soc.
Release Date : 2006

Groups Rings And Algebras written by Donald S. Passman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.

This is a companion volume to the conference in honor of Donald S. Passman held in Madison, Wisconsin in June 2005. It contains research papers on Algebras, Group Rings, Hopf Algebras, Invariant Theory, Lie Algebras and their Enveloping Algebras, Noncommutative Algebraic Geometry, Noncommutative Rings, and other topics. The papers represent an important part of the latest research in these areas.

Linear Topologies On A Ring

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Author : Jonathan S. Golan
language : en
Publisher: Longman
Release Date : 1987

Linear Topologies On A Ring written by Jonathan S. Golan and has been published by Longman this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Filters (Mathematics) categories.

Equational Compactness In Rings

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Author : David K. Haley
language : de
Publisher:
Release Date : 1979

Equational Compactness In Rings written by David K. Haley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Associative rings categories.