Advances in Ring Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3034602863
Total Pages : 345 pages
Book Rating : 4.0/5 (346 download)

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Book Synopsis Advances in Ring Theory by : Sergio R. López-Permouth

Download or read book Advances in Ring Theory written by Sergio R. López-Permouth and published by Springer Science & Business Media. This book was released on 2011-01-28 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher : Springer Science & Business Media
ISBN 13 : 1461219787
Total Pages : 330 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Advances in Ring Theory by : S.K. Jain

Download or read book Advances in Ring Theory written by S.K. Jain and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Commutative Ring Theory

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Publisher : Cambridge University Press
ISBN 13 : 9780521367646
Total Pages : 338 pages
Book Rating : 4.3/5 (676 download)

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Book Synopsis Commutative Ring Theory by : Hideyuki Matsumura

Download or read book Commutative Ring Theory written by Hideyuki Matsumura and published by Cambridge University Press. This book was released on 1989-05-25 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores commutative ring theory, an important a foundation for algebraic geometry and complex analytical geometry.

Introduction to Ring Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1447104757
Total Pages : 234 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Introduction to Ring Theory by : Paul M. Cohn

Download or read book Introduction to Ring Theory written by Paul M. Cohn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Algebra and Model Theory

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Publisher : CRC Press
ISBN 13 : 9789056991012
Total Pages : 516 pages
Book Rating : 4.9/5 (91 download)

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Book Synopsis Advances in Algebra and Model Theory by : M Droste

Download or read book Advances in Algebra and Model Theory written by M Droste and published by CRC Press. This book was released on 1998-01-29 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains 25 surveys in algebra and model theory, all written by leading experts in the field. The surveys are based around talks given at conferences held in Essen, 1994, and Dresden, 1995. Each contribution is written in such a way as to highlight the ideas that were discussed at the conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community. The topics include field and ring theory as well as groups, ordered algebraic structure and their relationship to model theory. Several papers deal with infinite permutation groups, abelian groups, modules and their relatives and representations. Model theoretic aspects include quantifier elimination in skew fields, Hilbert's 17th problem, (aleph-0)-categorical structures and Boolean algebras. Moreover symmetry questions and automorphism groups of orders are covered. This work contains 25 surveys in algebra and model theory, each is written in such a way as to highlight the ideas that were discussed at Conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community.

A Course in Ring Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821869383
Total Pages : 324 pages
Book Rating : 4.8/5 (693 download)

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Book Synopsis A Course in Ring Theory by : Donald S. Passman

Download or read book A Course in Ring Theory written by Donald S. Passman and published by American Mathematical Soc.. This book was released on 2004-09-28 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Commutative Ring Theory and Applications

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Publisher : CRC Press
ISBN 13 : 9780203910627
Total Pages : 524 pages
Book Rating : 4.9/5 (16 download)

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Book Synopsis Commutative Ring Theory and Applications by : Marco Fontana

Download or read book Commutative Ring Theory and Applications written by Marco Fontana and published by CRC Press. This book was released on 2017-07-27 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: Featuring presentations from the Fourth International Conference on Commutative Algebra held in Fez, Morocco, this reference presents trends in the growing area of commutative algebra. With contributions from nearly 50 internationally renowned researchers, the book emphasizes innovative applications and connections to algebraic number theory, geome

An Introduction to Rings and Modules

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Publisher : Cambridge University Press
ISBN 13 : 9780521632744
Total Pages : 286 pages
Book Rating : 4.6/5 (327 download)

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Book Synopsis An Introduction to Rings and Modules by : A. J. Berrick

Download or read book An Introduction to Rings and Modules written by A. J. Berrick and published by Cambridge University Press. This book was released on 2000-05 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a concise 2000 introduction at graduate level to ring theory, module theory and number theory.

Almost Ring Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540405948
Total Pages : 324 pages
Book Rating : 4.4/5 (59 download)

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Book Synopsis Almost Ring Theory by : Ofer Gabber

Download or read book Almost Ring Theory written by Ofer Gabber and published by Springer Science & Business Media. This book was released on 2003 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Ring Theory and Applications

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Author :
Publisher : Springer Nature
ISBN 13 : 3031507959
Total Pages : 396 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Advances in Ring Theory and Applications by : Shakir Ali

Download or read book Advances in Ring Theory and Applications written by Shakir Ali and published by Springer Nature. This book was released on with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Exercises in Classical Ring Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1475739877
Total Pages : 299 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Exercises in Classical Ring Theory by : T.Y. Lam

Download or read book Exercises in Classical Ring Theory written by T.Y. Lam and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based in large part on the comprehensive "First Course in Ring Theory" by the same author, this book provides a comprehensive set of problems and solutions in ring theory that will serve not only as a teaching aid to instructors using that book, but also for students, who will see how ring theory theorems are applied to solving ring-theoretic problems and how good proofs are written. The author demonstrates that problem-solving is a lively process: in "Comments" following many solutions he discusses what happens if a hypothesis is removed, whether the exercise can be further generalized, what would be a concrete example for the exercise, and so forth. The book is thus much more than a solution manual.

Rings and Categories of Modules

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Publisher : Springer Science & Business Media
ISBN 13 : 1461244188
Total Pages : 386 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Rings and Categories of Modules by : Frank W. Anderson

Download or read book Rings and Categories of Modules written by Frank W. Anderson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to provide a reasonably self-contained account of a major portion of the general theory of rings and modules suitable as a text for introductory and more advanced graduate courses. We assume the famil iarity with rings usually acquired in standard undergraduate algebra courses. Our general approach is categorical rather than arithmetical. The continuing theme of the text is the study of the relationship between the one-sided ideal structure that a ring may possess and the behavior of its categories of modules. Following a brief outline of set-theoretic and categorical foundations, the text begins with the basic definitions and properties of rings, modules and homomorphisms and ranges through comprehensive treatments of direct sums, finiteness conditions, the Wedderburn-Artin Theorem, the Jacobson radical, the hom and tensor functions, Morita equivalence and duality, de composition theory of injective and projective modules, and semi perfect and perfect rings. In this second edition we have included a chapter containing many of the classical results on artinian rings that have hdped to form the foundation for much of the contemporary research on the representation theory of artinian rings and finite dimensional algebras. Both to illustrate the text and to extend it we have included a substantial number of exercises covering a wide spectrum of difficulty. There are, of course" many important areas of ring and module theory that the text does not touch upon.

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

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Publisher : World Scientific
ISBN 13 : 9814479705
Total Pages : 335 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Advances In Ring Theory - Proceedings Of The 4th China-japan-korea International Conference by : Jianlong Chen

Download or read book Advances In Ring Theory - Proceedings Of The 4th China-japan-korea International Conference written by Jianlong Chen and published by World Scientific. This book was released on 2005-08-22 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Algebra II Ring Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3642653219
Total Pages : 319 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Algebra II Ring Theory by : Carl Faith

Download or read book Algebra II Ring Theory written by Carl Faith and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebra: Chapter 0

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Publisher : American Mathematical Soc.
ISBN 13 : 147046571X
Total Pages : 713 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Algebra: Chapter 0 by : Paolo Aluffi

Download or read book Algebra: Chapter 0 written by Paolo Aluffi and published by American Mathematical Soc.. This book was released on 2021-11-09 with total page 713 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra: Chapter 0 is a self-contained introduction to the main topics of algebra, suitable for a first sequence on the subject at the beginning graduate or upper undergraduate level. The primary distinguishing feature of the book, compared to standard textbooks in algebra, is the early introduction of categories, used as a unifying theme in the presentation of the main topics. A second feature consists of an emphasis on homological algebra: basic notions on complexes are presented as soon as modules have been introduced, and an extensive last chapter on homological algebra can form the basis for a follow-up introductory course on the subject. Approximately 1,000 exercises both provide adequate practice to consolidate the understanding of the main body of the text and offer the opportunity to explore many other topics, including applications to number theory and algebraic geometry. This will allow instructors to adapt the textbook to their specific choice of topics and provide the independent reader with a richer exposure to algebra. Many exercises include substantial hints, and navigation of the topics is facilitated by an extensive index and by hundreds of cross-references.

Modules and Rings

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Publisher : Cambridge University Press
ISBN 13 : 0521462584
Total Pages : 470 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Modules and Rings by : John Dauns

Download or read book Modules and Rings written by John Dauns and published by Cambridge University Press. This book was released on 1994-10-28 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on modern module and non-commutative ring theory is ideal for beginning graduate students. It starts at the foundations of the subject and progresses rapidly through the basic concepts to help the reader reach current research frontiers. Students will have the chance to develop proofs, solve problems, and to find interesting questions. The first half of the book is concerned with free, projective, and injective modules, tensor algebras, simple modules and primitive rings, the Jacobson radical, and subdirect products. Later in the book, more advanced topics, such as hereditary rings, categories and functors, flat modules, and purity are introduced. These later chapters will also prove a useful reference for researchers in non-commutative ring theory. Enough background material (including detailed proofs) is supplied to give the student a firm grounding in the subject.

Zero-Dimensional Commutative Rings

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Publisher : CRC Press
ISBN 13 : 9780824796051
Total Pages : 820 pages
Book Rating : 4.7/5 (96 download)

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Book Synopsis Zero-Dimensional Commutative Rings by : David F. Anderson

Download or read book Zero-Dimensional Commutative Rings written by David F. Anderson and published by CRC Press. This book was released on 1995-04-10 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents advances in zero-dimensional commutative rings and commutative algebra. It illustrates the research frontier with 52 open problems together with comments on the relevant literature, and offers a comprehensive index for easy access to information. Wide-ranging developments in commutative ring theory are examined.