Author: M. Ursul
Publisher: Springer Science & Business Media
ISBN: 9401002495
Category : Mathematics
Languages : en
Pages : 335
Book Description
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 Rings Satisfying Compactness Conditions
Author: M. Ursul
Publisher: Springer Science & Business Media
ISBN: 9401002495
Category : Mathematics
Languages : en
Pages : 335
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 9401002495
Category : Mathematics
Languages : en
Pages : 335
Book Description
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
Author: D. K. Haley
Publisher: Springer
ISBN: 3540348638
Category : Mathematics
Languages : en
Pages : 171
Book Description
Publisher: Springer
ISBN: 3540348638
Category : Mathematics
Languages : en
Pages : 171
Book Description
Advances in Ring Theory
Author: Sergio R. López-Permouth
Publisher: Springer Science & Business Media
ISBN: 3034602863
Category : Mathematics
Languages : en
Pages : 345
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 3034602863
Category : Mathematics
Languages : en
Pages : 345
Book Description
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.
Topological Rings
Author: S. Warner
Publisher: Elsevier
ISBN: 0080872891
Category : Mathematics
Languages : en
Pages : 509
Book Description
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.
Publisher: Elsevier
ISBN: 0080872891
Category : Mathematics
Languages : en
Pages : 509
Book Description
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.
Groups, Rings and Algebras
Author: Donald S. Passman
Publisher: American Mathematical Soc.
ISBN: 0821839047
Category : Mathematics
Languages : en
Pages : 314
Book Description
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.
Publisher: American Mathematical Soc.
ISBN: 0821839047
Category : Mathematics
Languages : en
Pages : 314
Book Description
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.
Compactness Conditions in Structure Theory of Topological Groups
Author: Siegfried Karl Grosser
Publisher:
ISBN:
Category :
Languages : en
Pages : 234
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 234
Book Description
Compactness Conditions and Duals of Topological Groups
Author: John Robie Liukkonen
Publisher:
ISBN:
Category : Topological groups
Languages : en
Pages : 174
Book Description
Publisher:
ISBN:
Category : Topological groups
Languages : en
Pages : 174
Book Description
Compactness Conditions for Functions on Topological Groups
Author: Justin Randolph Peters
Publisher:
ISBN:
Category :
Languages : en
Pages : 150
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 150
Book Description
Linear Topologies on a Ring
Author: Jonathan S. Golan
Publisher: Longman
ISBN:
Category : Filters (Mathematics)
Languages : en
Pages : 132
Book Description
Publisher: Longman
ISBN:
Category : Filters (Mathematics)
Languages : en
Pages : 132
Book Description
Mathematical Reviews
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 804
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 804
Book Description