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.
General
Imprint: |
Cambridge UniversityPress
|
Country of origin: |
United Kingdom |
Series: |
Encyclopedia of Mathematics and its Applications |
Release date: |
October 2009 |
First published: |
November 2009 |
Authors: |
Theodore G. Faticoni
|
Dimensions: |
240 x 160 x 25mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
392 |
ISBN-13: |
978-0-521-19960-5 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
|
LSN: |
0-521-19960-3 |
Barcode: |
9780521199605 |
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