Modules over Non-Noetherian Domains

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Author :
Release : 2001
Genre : Mathematics
Kind :
Book Rating : 631/5 ( reviews)

Modules over Non-Noetherian Domains - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modules over Non-Noetherian Domains write by László Fuchs. This book was released on 2001. Modules over Non-Noetherian Domains available in PDF, EPUB and Kindle. In this book, the authors present both traditional and modern discoveries in the subject area, concentrating on advanced aspects of the topic. Existing material is studied in detail, including finitely generated modules, projective and injective modules, and the theory of torsion and torsion-free modules. Some topics are treated from a new point of view. Also included are areas not found in current texts, for example, pure-injectivity, divisible modules, uniserial modules, etc. Special emphasis is given to results that are valid over arbitrary domains. The authors concentrate on modules over valuation and Prüfer domains, but also discuss Krull and Matlis domains, h-local, reflexive, and coherent domains. The volume can serve as a standard reference book for specialists working in the area and also is a suitable text for advanced-graduate algebra courses and seminars.

Modules Over Non-Noetherian Domains

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Release : 2014-06-06
Genre : MATHEMATICS
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Book Rating : 118/5 ( reviews)

Modules Over Non-Noetherian Domains - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modules Over Non-Noetherian Domains write by Lszl Fuchs. This book was released on 2014-06-06. Modules Over Non-Noetherian Domains available in PDF, EPUB and Kindle. The authors present both traditional and modern discoveries in the subject area, concentrating on advanced aspects of the topic. Existing material is studied in detail, including finitely generated modules, projective and injective modules, and the theory of torsion and torsion-free modules. Some topics are treated from a new point of view. Also included are areas generally not found in current texts, for example, pure-injectivity, divisible modules and uniserial modules. Special emphasis is given to results that are valid over arbitrary domains.

Commutative Algebra

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Release : 2010-09-29
Genre : Mathematics
Kind :
Book Rating : 90X/5 ( reviews)

Commutative Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Commutative Algebra write by Marco Fontana. This book was released on 2010-09-29. Commutative Algebra available in PDF, EPUB and Kindle. Commutative algebra is a rapidly growing subject that is developing in many different directions. This volume presents several of the most recent results from various areas related to both Noetherian and non-Noetherian commutative algebra. This volume contains a collection of invited survey articles by some of the leading experts in the field. The authors of these chapters have been carefully selected for their important contributions to an area of commutative-algebraic research. Some topics presented in the volume include: generalizations of cyclic modules, zero divisor graphs, class semigroups, forcing algebras, syzygy bundles, tight closure, Gorenstein dimensions, tensor products of algebras over fields, as well as many others. This book is intended for researchers and graduate students interested in studying the many topics related to commutative algebra.

FINITELY GENERATED REFLEXIVE MODULES OVER INTEGRALLY CLOSED NOETHERIAN DOMAINS

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Release : 1963
Genre : Homology theory
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Book Rating : /5 ( reviews)

FINITELY GENERATED REFLEXIVE MODULES OVER INTEGRALLY CLOSED NOETHERIAN DOMAINS - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook FINITELY GENERATED REFLEXIVE MODULES OVER INTEGRALLY CLOSED NOETHERIAN DOMAINS write by Bernice Rita Liberman Auslander. This book was released on 1963. FINITELY GENERATED REFLEXIVE MODULES OVER INTEGRALLY CLOSED NOETHERIAN DOMAINS available in PDF, EPUB and Kindle.

Rings, Modules, and Closure Operations

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Release : 2019-11-30
Genre : Mathematics
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Book Rating : 016/5 ( reviews)

Rings, Modules, and Closure Operations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Rings, Modules, and Closure Operations write by Jesse Elliott. This book was released on 2019-11-30. Rings, Modules, and Closure Operations available in PDF, EPUB and Kindle. This book presents a systematic exposition of the various applications of closure operations in commutative and noncommutative algebra. In addition to further advancing multiplicative ideal theory, the book opens doors to the various uses of closure operations in the study of rings and modules, with emphasis on commutative rings and ideals. Several examples, counterexamples, and exercises further enrich the discussion and lend additional flexibility to the way in which the book is used, i.e., monograph or textbook for advanced topics courses.