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Introduction To The Theory Of Topological Rings And Modules


Introduction To The Theory Of Topological Rings And Modules
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Introduction To The Theory Of Topological Rings And Modules


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.



Abelian Groups Module Theory And Topology


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.



Topological Rings Satisfying Compactness Conditions


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.



Introduction To Rings And Modules


Introduction To Rings And Modules
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Author : C. Musili
language : en
Publisher: Alpha Science International, Limited
Release Date : 1994

Introduction To Rings And Modules written by C. Musili and has been published by Alpha Science International, Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.


This book is a self-contained elementary introduction to rings and modules, and should be useful for courses on Algebra. The emphasis is on concept development with adequate examples and counter-examples drawn from topics such as analysis, topology, etc. The entire material, including exercises, is fully class tested.



Rings Modules Algebras And Abelian Groups


Rings Modules Algebras And Abelian Groups
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Author : Alberto Facchini
language : en
Publisher: CRC Press
Release Date : 2020-02-10

Rings Modules Algebras And Abelian Groups written by Alberto Facchini and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-10 with Mathematics categories.


Rings, Modules, Algebras, and Abelian Groups summarizes the proceedings of a recent algebraic conference held at Venice International University in Italy. Surveying the most influential developments in the field, this reference reviews the latest research on Abelian groups, algebras and their representations, module and ring theory, and topological



Topological Rings


Topological Rings
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Author : Seth Warner
language : en
Publisher: North Holland
Release Date : 1993

Topological Rings written by Seth Warner and has been published by North Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 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.



Rings Modules And The Total


Rings Modules And The Total
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Author : Friedrich Kasch
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-06-25

Rings Modules And The Total written by Friedrich Kasch 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 2004-06-25 with Mathematics categories.


Accessible to anyone with a basic knowledge of ring and module theory A short introduction to torsion-free Abelian groups is included



Rings Of Quotients


Rings Of Quotients
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Author : Bo T. Stenström
language : en
Publisher: Springer
Release Date : 1975

Rings Of Quotients written by Bo T. Stenström and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Mathematics categories.




Topological Rings


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.



Introduction To Ring Theory


Introduction To Ring Theory
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Author : Paul M. Cohn
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Introduction To Ring Theory written by Paul M. Cohn 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.


A clear and structured introduction to the subject. After a chapter on the definition of rings and modules there are brief accounts of Artinian rings, commutative Noetherian rings and ring constructions, such as the direct product, Tensor product and rings of fractions, followed by a description of free rings. Readers are assumed to have a basic understanding of set theory, group theory and vector spaces. Over two hundred carefully selected exercises are included, most with outline solutions.