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Author : Stanisław Balcerzyk
Release : 1989
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)
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:
Author : Tadeusz Jozefiak
Release : 1969
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Commutative Noetherian and Krull Rings by : Tadeusz Jozefiak
Download or read book Commutative Noetherian and Krull Rings written by Tadeusz Jozefiak. This book was released on 1969. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Gordon
Release : 1973
Genre : Associative rings
Kind : eBook
Book Rating : 333/5 ( reviews)
Book Synopsis Krull Dimension by : Robert Gordon
Download or read book Krull Dimension written by Robert Gordon. This book was released on 1973. Available in PDF, EPUB and Kindle. Book excerpt: This memoir is devoted to the study of Krull dimensions of modules over (not necessarily commutative) rings with identity. Although not all modules have a Krull dimension, Noetherian modules always do. There has been much interest in the Krull dimension of noncommutative Noetherian rings and their modules. In this memoir, as well as providing an exposition of much of what is known about Krull dimension, we study those rings and modules, not necessarily Noetherian, which have a Krull dimension. The results we obtain show that merely having a Krull dimension is a stringent condition with many Noetherian-like consequences. We expect these results, and the methods involved, to have applications to Noetherian and related rings.
Author : K. R. Goodearl
Release : 1989
Genre : Mathematics
Kind : eBook
Book Rating : 251/5 ( reviews)
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 1989. Available in PDF, EPUB and Kindle. Book excerpt: Introduces and applies the standard techniques in the area (ring of fractions, bimodules, Krull dimension, linked prime ideals).
Author : John C. McConnell
Release : 2001
Genre : Mathematics
Kind : eBook
Book Rating : 695/5 ( reviews)
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.
