Algebras Rings and Modules: Volume 1 (Mathematics and Its Applications)
Algebras, Rings and Modules: Volume 1 (Mathematics and Its Applications)
Publisher: Springer | ISBN: 1402026900 | edition 2004 | PDF | 380 pages | 1,82 mb
The text of the first volume of the book covers the major topics in ring and module theory and includes both fundamental classical results and more recent developments. The basic tools of investigation are methods from the theory of modules, which allow a very simple and clear approach both to classical and new results. An unusual main feature of this book is the use of the technique of quivers for studying the structure of rings. A considerable part of the first volume of the book is devoted to a study of special classes of rings and algebras, such as serial rings, hereditary rings, semidistributive rings and tiled orders. Many results of this text until now have been available in journal articles only. This book is aimed at graduate and post-graduate students and for all mathematicians who use algebraic techniques in their work. This is a self-contained book which is intended to be a modern textbook on the structure theory of associative rings and algebras and is suitable for independent study.
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Serial Rings Module Theory Associative Rings Algebraic Techniques Classical Results Publisher Springer Structure Theory Basic Tools Quivers Independent Study Post Graduate Recent Developments Graduate Students Volume 1 Journal Articles Mathematics Textboo
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