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Noetherian Rings and Their Applications

1987 Mathematics
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Release : 1987
Genre : Mathematics
Kind : eBook
Book Rating : 253/5 ( reviews)

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Book Synopsis Noetherian Rings and Their Applications by : Lance W. Small

Download or read book Noetherian Rings and Their Applications written by Lance W. Small. This book was released on 1987. Available in PDF, EPUB and Kindle. Book excerpt: ". T. Stafford -- The Goldie rank of a module " . R. Farkas -- Noetherian group rings: An exercise in creating folklore and intuition " . C. Jantzen -- Primitive ideals in the enveloping algebra of a semisimple Lie algebra " . J. Enright -- Representation theory of semisimple Lie algebras " .-E. Björk -- Filtered Noetherian rings " . Rentschler -- Primitive ideals in enveloping algebras.

Noncommutative Noetherian Rings

2001 Mathematics
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Release : 2001
Genre : Mathematics
Kind : eBook
Book Rating : 695/5 ( reviews)

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Book Synopsis Noncommutative Noetherian Rings by : John C. McConnell

Download or read book Noncommutative Noetherian Rings written by John C. McConnell. This book was released on 2001. Available in PDF, EPUB and Kindle. Book excerpt: This is a reprinted edition of a work that was considered the definitive account in the subject area upon its initial publication by J. Wiley & Sons in 1987. It presents, within a wider context, a comprehensive account of noncommutative Noetherian rings. The author covers the major developments from the 1950s, stemming from Goldie's theorem and onward, including applications to group rings, enveloping algebras of Lie algebras, PI rings, differential operators, and localization theory. The book is not restricted to Noetherian rings, but discusses wider classes of rings where the methods apply more generally. In the current edition, some errors were corrected, a number of arguments have been expanded, and the references were brought up to date. This reprinted edition will continue to be a valuable and stimulating work for readers interested in ring theory and its applications to other areas of mathematics.

An Introduction to Noncommutative Noetherian Rings

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

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Book Synopsis An Introduction to Noncommutative Noetherian Rings by : K. R. Goodearl

Download or read book An Introduction to Noncommutative Noetherian Rings written by K. R. Goodearl. This book was released on 2004-07-12. Available in PDF, EPUB and Kindle. Book excerpt: 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

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

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Book Synopsis Non-Noetherian Commutative Ring Theory by : S.T. Chapman

Download or read book Non-Noetherian Commutative Ring Theory written by S.T. Chapman. This book was released on 2013-03-09. Available in PDF, EPUB and Kindle. Book excerpt: 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 Noetherian and Krull Rings

1989 Mathematics
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Release : 1989
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Commutative Noetherian and Krull Rings by : Stanisław Balcerzyk

Download or read book Commutative Noetherian and Krull Rings written by Stanisław Balcerzyk. This book was released on 1989. Available in PDF, EPUB and Kindle. Book excerpt:

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