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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.
Quadratic and hermitian forms over rings Автор: Max-Albert Knus Год: 1991 |
Group and semigroup rings Автор: Karpilovsky G. Год: 1986 |
Lifting Modules: Supplements and Projectivity in Module Theory Автор: John Clark, Christian Lomp, N. Vanaja, Robert Wisbauer Год: 2006 |
Quadratic and hermitian forms over rings Автор: Knus M.-A. Год: 1991 |
Lifting Modules: Supplements and Projectivity in Module Theory Автор: Clark J., Lomp C., Vanaja N. Год: 2006 |
Theory of generalized inverses over commutative rings Автор: Bhaskara Rao K.P.S. Год: 2002 |