




TorsionFree Modules
University of Chicago Press, 1973 Paper: 9780226510743  Cloth: 9780226510736 Library of Congress Classification QA247.M38 Dewey Decimal Classification 512.522
ABOUT THIS BOOK  TOC
ABOUT THIS BOOK
The subject of torsionfree modules over an arbitrary integral domain arises naturally as a generalization of torsionfree abelian groups. In this volume, Eben Matlis brings together his research on torsionfree modules that has appeared in a number of mathematical journals. Professor Matlis has reworked many of the proofs so that only an elementary knowledge of homological algebra and commutative ring theory is necessary for an understanding of the theory. The first eight chapters of the book are a general introduction to the theory of torsionfree modules. This part of the book is suitable for a selfcontained basic course on the subject. More specialized problems of finding all integrally closed Drings are examined in the last seven chapters, where material covered in the first eight chapters is applied. An integral domain is said to be a Dring if every torsionfree module of finite rank decomposes into a direct sum of modules of rank 1. After much investigation, Professor Matlis found that an integrally closed domain is a Dring if, and only if, it is the intersection of at most two maximal valuation rings. See other books on: Algebra  Linear  Mathematics  Modules (Algebra)  Probability & Statistics See other titles from University of Chicago Press 
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