Ideals and Reality: Projective Modules and Number of Generators of Ideals (Springer Monographs in Mathematics) - Image 1

£60.75

Springer Ideals and Reality: Projective Modules and Number of Generators of Ideals (Springer Monographs in Mathematics)

Name: Ideals and Reality: Projective Modules and Number of Generators of Ideals (Springer Monographs in Mathematics)
Brand: Springer
Price: 60.75 GBP
Availability: InStock

Algebra

About as cheap as it gets. The only time it was cheaper was 2 months ago.

£61 today · all-time low £60 (May 2026) · usually £61

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 65 days · 65 data points (no recent data)

Historical

Generating forecast…

Price Distribution

Price distribution over 65 days • 4 price levels

Days at Price

Current Price

Price Analysis

Most common price: £61 (30 days, 46.2%)

Price range: £60 - £65

Price levels: 4 different prices over 65 days

Description

Besides giving an introduction to Commutative Algebra - the theory of c- mutative rings - this book is devoted to the study of projective modules and the minimal number of generators of modules and ideals. The notion of a module over a ring R is a generalization of that of a vector space over a field k. The axioms are identical. But whereas every vector space possesses a basis, a module need not always have one. Modules possessing a basis are called free. So a finitely generated free R-module is of the form Rn for some n E IN, equipped with the usual operations. A module is called p- jective, iff it is a direct summand of a free one. Especially a finitely generated R-module P is projective iff there is an R-module Q with P @ Q S Rn for some n. Remarkably enough there do exist nonfree projective modules. Even there are nonfree P such that P @ Rm S Rn for some m and n. Modules P having the latter property are called stably free. On the other hand there are many rings, all of whose projective modules are free, e. g. local rings and principal ideal domains. (A commutative ring is called local iff it has exactly one maximal ideal. ) For two decades it was a challenging problem whether every projective module over the polynomial ring k[X1,. . .

Product Specifications

Brand: Springer
Format: hardcover
ASIN: 3540230327
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 24 November 2004
Listed Since: 12 January 2007

Barcode

No barcode data available

Springer Ideals and Reality: Projective Modules and Number of Generators of Ideals (Springer Monographs in Mathematics)

About as cheap as it gets. The only time it was cheaper was 2 months ago.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Exercises in Modules and Rings (Problem Books in Mathematics)

Introductory Lectures on Rings and Modules: 47 (London Mathematical Society Student Texts, Series Number 47)

Commutative Algebra: Constructive Methods: Finite Projective Modules: 20 (Algebra and Applications, 20)

Commutative Algebra (Graduate Texts in Mathematics, 309)

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

Commutative Algebra through Exercises: 159 (UNITEXT, 159)

Constructive Commutative Algebra: Projective Modules Over Polynomial Rings and Dynamical Gröbner Bases: 2138 (Lecture Notes in Mathematics, 2138)

LMSST: 51 Steps Commut Algebra 2ed (London Mathematical Society Student Texts, Series Number 51)

Universal Algebra: Fundamentals and Selected Topics: 301 (Chapman & Hall Pure and Applied Mathematics)

Commutative Algebra: with a View Toward Algebraic Geometry: 150 (Graduate Texts in Mathematics, 150)

Homological Methods in Commutative Algebra: 234 (Graduate Studies in Mathematics)

The Use of Ultraproducts in Commutative Algebra: 1999 (Lecture Notes in Mathematics, 1999)

Universal Algebra: Fundamentals and Selected Topics (Chapman & Hall Pure and Applied Mathematics)

K-theory in Algebra, Analysis and Topology (Contemporary Mathematics)

Algebras, Rings and Modules: Volume 2: 586 (Mathematics and Its Applications, 586)

Noncommutative Algebra: 144 (Graduate Texts in Mathematics, 144)

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

Rings with Polynomial Identities and Finite Dimensional Representations of Algebras (Colloquium Publications)

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

Noncommutative Rings and Their Applications (Contemporary Mathematics)

Algebra: Chapter 8

Commutative Algebra: Chapters 1-7

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