Free Ebook Modules over Endomorphism Rings (Encyclopedia of Mathematics and its Applications), by Theodore G. Faticoni
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Modules over Endomorphism Rings (Encyclopedia of Mathematics and its Applications), by Theodore G. Faticoni
Free Ebook Modules over Endomorphism Rings (Encyclopedia of Mathematics and its Applications), by Theodore G. Faticoni
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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.
- Sales Rank: #4998874 in Books
- Published on: 2009-11-23
- Original language: English
- Number of items: 1
- Dimensions: 9.21" h x .98" w x 6.14" l, 1.60 pounds
- Binding: Hardcover
- 392 pages
Review
"This monograph is an up-to-date account of the intermingling of the theory of rtffr groups, ring theory, module theory, and number theory. Any researcher working in any of these areas should have a copy of this book."
Manfred Dugas, Mathematical Reviews
"Theodore Faticoni enriches the mathematical literature with a comprehensive and up-to-date account of the study of a large class of abelian groups, presenting all the relevant results in a very well organized fashion, most of which have been obtained by the author since the 1970s."
Nadia Mazza, Bulletin of the London Mathematical Society
About the Author
Theodore G. Faticoni is Associate Professor in the Mathematics Department at Fordham University, New York.
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