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Groups of units in totally bounded rings


Marketed By :  LAP LAMBERT Academic Publishing   Sold By :  Kamal Books International  
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  • Product Description

An important object associated to a ring is the group of its units. Groups of units are interesting for the following branches of mathematics: group theory, ring theory, k-theory, representation theory, the theory of group rings, topology, the algebraic theory of numbers. In general topology there exists various natural generalizations of compact spaces: countably compact, pseudo-compact, ?-compact and sequentially compact. These classes of topological groups are interesting objects of study for the theory of topological groups. Evidently, their topology are more difficult in comparison with compact groups, therefore that groups inherit some nice properties of compact groups. In this book we study the groups of units of contably compact, pseudo-compact, totally bounded and more general, linearly compact rings. The topology of compact rings is relatively well- studied. From this point of view the topological structure of totally bounded rings is richer and diverse. Since the completion of a totally bounded ring is compact, the methods of compact rings can be applied in the study of totally bounded rings.

Product Specifications
SKU :COC37866
AuthorAdela Tripe
Number of Pages76
Publishing Year5/27/2010
Edition1 st
Book TypeAlgebra
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-07-31 00:00:00