Non-Noetherian Commutative Ring Theory

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Release : 2000-10-31
Genre : Mathematics
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Book Rating : 924/5 ( reviews)

Non-Noetherian Commutative Ring Theory - 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 Non-Noetherian Commutative Ring Theory write by S.T. Chapman. This book was released on 2000-10-31. Non-Noetherian Commutative Ring Theory available in PDF, EPUB and Kindle. This volume consists of twenty-one articles by many of the most prominent researchers in non-Noetherian commutative ring theory. The articles combine in various degrees surveys of past results, recent results that have never before seen print, open problems, and an extensive bibliography. One hundred open problems supplied by the authors have been collected in the volume's concluding chapter. The entire collection provides a comprehensive survey of the development of the field over the last ten years and points to future directions of research in the area. Audience: Researchers and graduate students; the volume is an appropriate source of material for several semester-long graduate-level seminars and courses.

Commutative Algebra

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Release : 2010-09-29
Genre : Mathematics
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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.

An Introduction to Noncommutative Noetherian Rings

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Release : 2004-07-12
Genre : Mathematics
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Book Rating : 372/5 ( reviews)

An Introduction to Noncommutative Noetherian Rings - 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 An Introduction to Noncommutative Noetherian Rings write by K. R. Goodearl. This book was released on 2004-07-12. An Introduction to Noncommutative Noetherian Rings available in PDF, EPUB and Kindle. This introduction to noncommutative noetherian rings is intended to be accessible to anyone with a basic background in abstract algebra. It can be used as a second-year graduate text, or as a self-contained reference. Extensive explanatory discussion is given, and exercises are integrated throughout. This edition incorporates substantial revisions, particularly in the first third of the book, where the presentation has been changed to increase accessibility and topicality. New material includes the basic types of quantum groups, which then serve as test cases for the theory developed.

Non-Noetherian Commutative Ring Theory

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Release : 2013-03-09
Genre : Mathematics
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Book Rating : 809/5 ( reviews)

Non-Noetherian Commutative Ring Theory - 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 Non-Noetherian Commutative Ring Theory write by S.T. Chapman. This book was released on 2013-03-09. Non-Noetherian Commutative Ring Theory available in PDF, EPUB and Kindle. Commutative Ring Theory emerged as a distinct field of research in math ematics only at the beginning of the twentieth century. It is rooted in nine teenth century major works in Number Theory and Algebraic Geometry for which it provided a useful tool for proving results. From this humble origin, it flourished into a field of study in its own right of an astonishing richness and interest. Nowadays, one has to specialize in an area of this vast field in order to be able to master its wealth of results and come up with worthwhile contributions. One of the major areas of the field of Commutative Ring Theory is the study of non-Noetherian rings. The last ten years have seen a lively flurry of activity in this area, including: a large number of conferences and special sections at national and international meetings dedicated to presenting its results, an abundance of articles in scientific journals, and a substantial number of books capturing some of its topics. This rapid growth, and the occasion of the new Millennium, prompted us to embark on a project aimed at presenting an overview of the recent research in the area. With this in mind, we invited many of the most prominent researchers in Non-Noetherian Commutative Ring Theory to write expository articles representing the most recent topics of research in this area.

Commutative Ring Theory

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Release : 2023-06-14
Genre : Mathematics
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Book Rating : 740/5 ( reviews)

Commutative Ring Theory - 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 Ring Theory write by Paul-Jean Cahen. This book was released on 2023-06-14. Commutative Ring Theory available in PDF, EPUB and Kindle. " Exploring commutative algebra's connections with and applications to topological algebra and algebraic geometry, Commutative Ring Theory covers the spectra of rings chain conditions, dimension theory, and Jaffard rings fiber products group rings, semigroup rings, and graded rings class groups linear groups integer-valued polynomials rings of finite fractions big Cohen-Macaulay modules and much more!"