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Overview
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compact, linearly compact, hereditarily linear compact and bounded topological rings.The text also contains new, unpublished results on topological rings, for example the nilideals of topological rings, trivial extensions of special type, rings with a unique compact topology, compact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.
Synopsis
Focusing on locally compact and compact rings, this monograph illustrates results from the theory of topological groups. It covers constructions and examples of topological groups, relations between quasi-components and components, minimal groups, and properties of the finest precompact topology on an Abelian group. The book then examines various aspects of topological ring theory, with particular attention to their structure and to the nature of bounded rings. The book assumes a basic understanding of the theory of rings and general topology. Ursul is affiliated with the Universitatea Din Ovadea, in Romania. Annotation ©2003 Book News, Inc., Portland, OR