James Christopher Robson's Books

Noncommutative Noetherian Rings

By: John C. McConnell,James Christopher Robson,Lance W. Small

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Noncommutative Noetherian Rings

By: John C. McConnell,James Christopher Robson,Lance W. Small

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.

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Page Count

658

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821821695

ISBN 13

9780821821695

Hereditary Noetherian Prime Rings and Idealizers

By: Lawrence S. Levy,James Christopher Robson

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Hereditary Noetherian Prime Rings and Idealizers

By: Lawrence S. Levy,James Christopher Robson

This surveys material previously available only in the research literature. It provides a re-worked and simplified account, with improved clarity, fresh insights and many original results about finite length modules, injective modules and projective modules. It culminates in the authors' surprisingly complete structure theorem for projective modules which involves two independent additive invariants: genus and Steinitz class.

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Page Count

234

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821853503

ISBN 13

9780821853504

Krull Dimension

By: Robert Gordon,James Christopher Robson

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Krull Dimension

By: Robert Gordon,James Christopher Robson

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.

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American Mathematical Soc.

Published Date

ISBN 10

0821818333

ISBN 13

9780821818336

A Selection of Cases of the Law of Trusts, with Notes and Citations

By: James Barr Ames

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A Selection of Cases of the Law of Trusts, with Notes and Citations

By: James Barr Ames

Reprint of the original, first published in 1881.

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613

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BoD – Books on Demand

Published Date

ISBN 10

3368862766

ISBN 13

9783368862763

Book's by James Christopher Robson

Noncommutative Noetherian Rings

Noncommutative Noetherian Rings

Hereditary Noetherian Prime Rings and Idealizers

Hereditary Noetherian Prime Rings and Idealizers

Krull Dimension

Krull Dimension

A Selection of Cases of the Law of Trusts, with Notes and Citations

A Selection of Cases of the Law of Trusts, with Notes and Citations

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