Modules over Non-Noetherian Domains

Modules over Non-Noetherian Domains
Author: László Fuchs
Publisher: American Mathematical Soc.
Total Pages: 633
Release: 2001
Genre: Mathematics
ISBN: 0821819631

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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
Language: en
Pages: 633
Authors: László Fuchs
Categories: Mathematics
Type: BOOK - Published: 2001 - Publisher: American Mathematical Soc.

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In this book, the authors present both traditional and modern discoveries in the subject area, concentrating on advanced aspects of the topic. Existing material
Modules Over Non-Noetherian Domains
Language: en
Pages: 633
Authors: Lszl Fuchs
Categories: MATHEMATICS
Type: BOOK - Published: 2014-06-06 - Publisher: American Mathematical Society(RI)

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The authors present both traditional and modern discoveries in the subject area, concentrating on advanced aspects of the topic. Existing material is studied in
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Type: BOOK - Published: 2010-09-29 - Publisher: Springer Science & Business Media

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Commutative algebra is a rapidly growing subject that is developing in many different directions. This volume presents several of the most recent results from v
FINITELY GENERATED REFLEXIVE MODULES OVER INTEGRALLY CLOSED NOETHERIAN DOMAINS
Language: en
Pages: 226
Authors: Bernice Rita Liberman Auslander
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Rings, Modules, and Closure Operations
Language: en
Pages: 490
Authors: Jesse Elliott
Categories: Mathematics
Type: BOOK - Published: 2019-11-30 - Publisher: Springer Nature

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This book presents a systematic exposition of the various applications of closure operations in commutative and noncommutative algebra. In addition to further a