£87.50

Hereditary Noetherian Prime Rings and Idealizers (Mathematical Surveys and Monographs)

Algebra

Price data last checked 16 day(s) ago - will refresh soon

View at Amazon

We'll watch every seller, every day. One email when your price arrives.

It has never been this cheap. We have no record of a lower price.

£88 today · cheaper than every other day in the last 3 months

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 75 days · 75 data points (no recent data)

Historical

Generating forecast…

Price Distribution

Price distribution over 75 days • 1 price levels

Days at Price

Price Analysis

Most common price: £88 (75 days, 100.0%)

Price range: £88 - £88

Price levels: 1 different prices over 75 days

Description

The direct sum behaviour of its projective modules is a fundamental property of any ring. Hereditary Noetherian prime rings are perhaps the only noncommutative Noetherian rings for which this direct sum behaviour (for both finitely and infinitely generated projective modules) is well-understood, yet highly nontrivial. This book 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. Several applications demonstrate its utility. The theory, extending the well-known module theory of commutative Dedekind domains and of hereditary orders, develops via a detailed study of simple modules. This relies upon the substantial account of idealiser subrings which forms the first part of the book and provides a useful general construction tool for interesting examples. The book assumes some knowledge of noncommutative Noetherian rings, including Goldie's theorem. Beyond that, it is largely self-contained, thanks to the appendix which provides succinct accounts of Artinian serial rings and, for arbitrary rings, results about lifting direct sum decompositions from finite length images of projective modules. The appendix also describes some open problems.<p. The history of the topics is surveyed at appropriate points. About the Author Lawrence S. Levy is at the University of Wisconsin, Madison, WI, USA.||J. Chris Robson is at the University of Leeds, UK

Product Specifications

Format: hardcover
ASIN: 0821853503
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 10 June 2011
Listed Since: 08 April 2011

Barcode

No barcode data available

Hereditary Noetherian Prime Rings and Idealizers (Mathematical Surveys and Monographs)

It has never been this cheap. We have no record of a lower price.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Cohen-Macaulay Representations (Mathematical Surveys and Monographs)

Commutative Algebra (Graduate Texts in Mathematics, 309)

Foundations of Commutative Rings and Their Modules: 22 (Algebra and Applications, 22)

Advances in Rings, Modules and Factorizations: Graz, Austria, February 19-23, 2018: 321 (Springer Proceedings in Mathematics & Statistics, 321)

From Rings and Modules to Hopf Algebras: One Flew Over the Algebraist's Nest

Springer Multiplicative Ideal Theory and Factorization Theory 170

Graded Syzygies: 14 (Algebra and Applications, 14)

Springer Advances in Rings, Modules and Factorizations - Vol 321

Harmonic Analysis on Reductive, Sporadic Groups (Contemporary Mathematics)

Ottawa Lectures on Admissible Representations of Reductive P-adic Groups (Fields Institute Monographs)

Ideal Theoretic Methods in Commutative Algebra: 220 (Lecture Notes in Pure and Applied Mathematics)

Ideal Theoretic Methods in Commutative Algebra: 220 (Lecture Notes in Pure and Applied Mathematics)

Syzygies and Hilbert Functions: 254 (Lecture Notes in Pure and Applied Mathematics)

Elements of the Representation Theory of Associative Algebras: Volume 2, Tubes and Concealed Algebras of Euclidean type: 71 (London Mathematical Society Student Texts, Series Number 71)

Computational Aspects of Polynomial Identities: Volume l, Kemer's Theorems, 2nd Edition: 16 (Monographs and Research Notes in Mathematics)

Commutative Algebra through Exercises: 159 (UNITEXT, 159)

Cohomology of Arithmetic Groups: On the Occasion of Joachim Schwermer's 66th Birthday, Bonn, Germany, June 2016: 245 (Springer Proceedings in Mathematics & Statistics, 245)

Cohomology of Arithmetic Groups: On the Occasion of Joachim Schwermer's 66th Birthday, Bonn, Germany, June 2016: 245 (Springer Proceedings in Mathematics & Statistics, 245)

Taming Wild Extensions: Hopf Algebras and Local Galois Module Theory (Mathematical Surveys and Monographs)

Abstract Algebra for Beginners: A Rigorous Introduction to Groups, Rings, Fields, Vector Spaces, Modules, Substructures, Homomorphisms, Quotients, ... Group Actions, Polynomials, and Galois Theory

Rigid Cohomology over Laurent Series Fields: 21 (Algebra and Applications, 21)

Polynomials and the mod 2 Steenrod Algebra: The Peterson Hit Problem: 441 (London Mathematical Society Lecture Note Series, Series Number 441)

Central Simple Algebras and Galois Cohomology: 165 (Cambridge Studies in Advanced Mathematics, Series Number 165)

Representations of Reductive p-adic Groups: International Conference, IISER, Pune, India, 2017: 328 (Progress in Mathematics, 328)