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Books > Science & Mathematics > Mathematics > Algebra
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Cyclic Modules and the Structure of Rings (Hardcover)
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Cyclic Modules and the Structure of Rings (Hardcover)
Series: Oxford Mathematical Monographs
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This unique and comprehensive volume provides an up-to-date account
of the literature on the subject of determining the structure of
rings over which cyclic modules or proper cyclic modules have a
finiteness condition or a homological property. The finiteness
conditions and homological properties are closely interrelated in
the sense that either hypothesis induces the other in some form.
This is the first book to bring all of this important material on
the subject together. Over the last 25 years or more numerous
mathematicians have investigated rings whose factor rings or factor
modules have a finiteness condition or a homological property. They
made important contributions leading to new directions and
questions, which are listed at the end of each chapter for the
benefit of future researchers. There is a wealth of material on the
topic which is combined in this book, it contains more than 200
references and is not claimed to be exhaustive. This book will
appeal to graduate students, researchers, and professionals in
algebra with a knowledge of basic noncommutative ring theory, as
well as module theory and homological algebra, equivalent to a
one-year graduate course in the theory of rings and modules.
General
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