Modules over endomorphism rings
By: Theodore G. Faticoni
Series: Encyclopedia of mathematics and its applications -- [130]; Encyclopedia of mathematics and its applications -- v. 130.
Publisher: Cambridge University Press
Published: 2010
Place of publication: Cambridge
Language: eng
Number of pages: 372
ISBN-13: 9780521199605
Subjects: Endomorphism rings; Modules (Algebra)
Description: This is an extensive synthesis of recent work in the study of endomorphism rings and their modules, bringing together direct sum decompositions of modules, the class number of an algebraic number field, point set topological spaces, and classical noncommutative localization. The main idea behind the book is to study modules G over a ring R via their endomorphism ring EndR(G). The author discusses a wealth of results that classify G and EndR(G) via numerous properties, and in particular results from point set topology are used to provide a complete characterization of the direct sum decomposition properties of G. For graduate students this is a useful introduction, while the more experienced mathematician will discover that the book contains results that are not otherwise available. Each chapter contains a list of exercises and problems for future research, which provide a springboard for students entering modern professional mathematics.
Notes: Series numbering from jacket.

Includes bibliographical references (p. [362]-367) and index.