Topological Rings Satisfying Compactness Conditions: 549 (Mathematics and Its Applications) - Tapa blanda

Ursul, M.

 
9789401039468: Topological Rings Satisfying Compactness Conditions: 549 (Mathematics and Its Applications)
Tapa blanda
ISBN 10: 9401039461 ISBN 13: 9789401039468
Editorial: Springer, 2012

Sinopsis

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.

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Reseña del editor

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.

Reseña del editor

The main aim of this text is to introduce the beginner to the theory of topological rings. Whilst covering all the essential theory of topological groups, the text focuses on locally compact, compact, linearly compact, hereditarily linear compact and bounded topological rings.
The text also contains new, unpublished results on topological rings, for example the nilideals of topological rings, trivial extensions of special type, rings with a unique compact topology, compact right topological rings and the results from groups of units of topological rings.

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Editorial
Springer
Año de publicación
2012
Idioma
Inglés
ISBN 10 
9401039461
ISBN 13 
9789401039468
Encuadernación
Tapa blanda
Número de páginas
340
Contacto del fabricante
ProductSafety@springernature.com
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Poststr. 9
Darmstadt
64293
Alemania

Otras ediciones populares con el mismo título

9781402009396: Topological Rings Satisfying Compactness Conditions: 549 (Mathematics and Its Applications, 549)

Edición Destacada

ISBN 10:  1402009399 ISBN 13:  9781402009396
Editorial: Springer, 2002
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