Topological Rings
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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.
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.
Topological Fields
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Author : S. Warner
language : en
Publisher: Elsevier
Release Date : 1989-06-01
Topological Fields 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 1989-06-01 with Mathematics categories.
Aimed at those acquainted with basic point-set topology and algebra, this text goes up to the frontiers of current research in topological fields (more precisely, topological rings that algebraically are fields). The reader is given enough background to tackle the current literature without undue additional preparation. Many results not in the text (and many illustrations by example of theorems in the text) are included among the exercises. Sufficient hints for the solution of the exercises are offered so that solving them does not become a major research effort for the reader. A comprehensive bibliography completes the volume.
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.
Introduction To The Theory Of Topological Rings And Modules
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Author : V. Arnautov
language : en
Publisher: CRC Press
Release Date : 1995-11-30
Introduction To The Theory Of Topological Rings And Modules written by V. Arnautov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-11-30 with Mathematics categories.
Provides a thorough introduction to the theory of topological rings and modules--focusing on problems of topologization and extensions of ring topologies.
Representation Of Rings By Sections
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Author : John Dauns
language : en
Publisher: American Mathematical Soc.
Release Date : 1968
Representation Of Rings By Sections written by John Dauns 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 1968 with Algebra categories.
Topological Groups
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Author : R. V. Gamkrelidze
language : en
Publisher: CRC Press
Release Date : 1987-03-06
Topological Groups written by R. V. Gamkrelidze and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-03-06 with Mathematics categories.
Offering the insights of L.S. Pontryagin, one of the foremost thinkers in modern mathematics, the second volume in this four-volume set examines the nature and processes that make up topological groups. Already hailed as the leading work in this subject for its abundance of examples and its thorough explanations, the text is arranged so that readers can follow the material either sequentially or schematically. Stand-alone chapters cover such topics as topological division rings, linear representations of compact topological groups, and the concept of a lie group.
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.
Abelian Groups Module Theory And Topology
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Author : Dikran Dikranjan
language : en
Publisher: CRC Press
Release Date : 2019-05-31
Abelian Groups Module Theory And Topology written by Dikran Dikranjan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-31 with Mathematics categories.
Features a stimulating selection of papers on abelian groups, commutative and noncommutative rings and their modules, and topological groups. Investigates currently popular topics such as Butler groups and almost completely decomposable groups.
Topologies On Groups Determined By Sequences
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Author : Ihor Protasov
language : en
Publisher:
Release Date : 1999
Topologies On Groups Determined By Sequences written by Ihor Protasov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Abelian groups categories.