Modules over Endomorphism Rings: 130 (Encyclopedia of Mathematics and its Applications, Series Number 130) - Hardcover

Theodore G. Faticoni

Hardcover

ISBN 10: 0521199603 ISBN 13: 9780521199605

Publisher: Cambridge University Press, 2009

Synopsis

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.

About this title

About the Author

Theodore G. Faticoni is Associate Professor in the Mathematics Department at Fordham University, New York.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2009
• Language: English
• ISBN 10: 0521199603
• ISBN 13: 9780521199605
• Binding: Hardcover
• Number of pages: 392