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Advances in Ring Theory

Advances in Ring Theory
Author: S.K. Jain
Publisher: Springer Science & Business Media
Total Pages: 330
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461219787

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Advances in Ring Theory

Advances in Ring Theory
Author: S. K. Jain
Publisher:
Total Pages: 348
Release: 1997-11-01
Genre:
ISBN: 9781461219798

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Commutative Ring Theory

Commutative Ring Theory
Author: Hideyuki Matsumura
Publisher: Cambridge University Press
Total Pages: 338
Release: 1989-05-25
Genre: Mathematics
ISBN: 9780521367646

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This book explores commutative ring theory, an important a foundation for algebraic geometry and complex analytical geometry.


Advances in Commutative Ring Theory

Advances in Commutative Ring Theory
Author: David Dobbs
Publisher: CRC Press
Total Pages: 578
Release: 2023-08-25
Genre: Mathematics
ISBN: 1000939634

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"Presents the proceedings of the recently held Third International Conference on Commutative Ring Theory in Fez, Morocco. Details the latest developments in commutative algebra and related areas-featuring 26 original research articles and six survey articles on fundamental topics of current interest. Examines wide-ranging developments in commutative algebra, together with connections to algebraic number theory and algebraic geometry."


Introduction to Ring Theory

Introduction to Ring Theory
Author: Paul M. Cohn
Publisher: Springer Science & Business Media
Total Pages: 234
Release: 2012-12-06
Genre: Mathematics
ISBN: 1447104757

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A clear and structured introduction to the subject. After a chapter on the definition of rings and modules there are brief accounts of Artinian rings, commutative Noetherian rings and ring constructions, such as the direct product, Tensor product and rings of fractions, followed by a description of free rings. Readers are assumed to have a basic understanding of set theory, group theory and vector spaces. Over two hundred carefully selected exercises are included, most with outline solutions.


Advances in Ring Theory

Advances in Ring Theory
Author: Sergio R. López-Permouth
Publisher: Birkhäuser
Total Pages: 345
Release: 2010-03-12
Genre: Mathematics
ISBN: 9783034602853

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A Course in Ring Theory

A Course in Ring Theory
Author: Donald S. Passman
Publisher: American Mathematical Soc.
Total Pages: 324
Release: 2004-09-28
Genre: Mathematics
ISBN: 9780821869383

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Projective modules: Modules and homomorphisms Projective modules Completely reducible modules Wedderburn rings Artinian rings Hereditary rings Dedekind domains Projective dimension Tensor products Local rings Polynomial rings: Skew polynomial rings Grothendieck groups Graded rings and modules Induced modules Syzygy theorem Patching theorem Serre conjecture Big projectives Generic flatness Nullstellensatz Injective modules: Injective modules Injective dimension Essential extensions Maximal ring of quotients Classical ring of quotients Goldie rings Uniform dimension Uniform injective modules Reduced rank Index


Advances in Ring Theory

Advances in Ring Theory
Author: Sergio R. López-Permouth
Publisher: Birkhäuser
Total Pages: 0
Release: 2010-03-12
Genre: Mathematics
ISBN: 9783034602853

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This volume consists of refereed research and expository articles by both plenary and other speakers at the International Conference on Algebra and Applications held at Ohio University in June 2008, to honor S.K. Jain on his 70th birthday. The articles are on a wide variety of areas in classical ring theory and module theory, such as rings satisfying polynomial identities, rings of quotients, group rings, homological algebra, injectivity and its generalizations, etc. Included are also applications of ring theory to problems in coding theory and in linear algebra.


Advances In Ring Theory - Proceedings Of The 4th China-japan-korea International Conference

Advances In Ring Theory - Proceedings Of The 4th China-japan-korea International Conference
Author: Jianlong Chen
Publisher: World Scientific
Total Pages: 335
Release: 2005-08-22
Genre: Mathematics
ISBN: 9814479705

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The selected papers in this volume cover all the most important areas of ring theory and module theory such as classical ring theory, representation theory, the theory of quantum groups, the theory of Hopf algebras, the theory of Lie algebras and Abelian group theory. The review articles, written by specialists, provide an excellent overview of the various areas of ring and module theory — ideal for researchers looking for a new or related field of study. Also included are original articles showing the trend of current research.