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Topological Rings Satisfying Compactness Conditions

  • Book
  • © 2002

Overview

Authors:
  1. Mihail Ursul

    1. Universitatea Din Oradea, Oradea, Romania

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Part of the book series: Mathematics and Its Applications (MAIA, volume 549)

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Table of contents (2 chapters)

  1. Front Matter

    Pages i-ix
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  2. Elements of topological groups

    • Mihail Ursul
    Pages 1-82

  3. Topological rings

    • Mihail Ursul
    Pages 83-309

  4. Back Matter

    Pages 311-327
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Keywords

About this book

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.

Authors and Affiliations

  • Universitatea Din Oradea, Oradea, Romania

    Mihail Ursul

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