Classical and Involutive Invariants of Krull Domains: 5 (K-Monographs in Mathematics, 5) - Image 1

£72.66

Springer Classical and Involutive Invariants of Krull Domains: 5 (K-Monographs in Mathematics, 5)

Name: Classical and Involutive Invariants of Krull Domains: 5 (K-Monographs in Mathematics, 5)
Brand: Springer
Price: 73.29 GBP
Availability: InStock

Algebra

Price History & Forecast

Last 89 days • 89 data points

Historical

Generating forecast...

Price Distribution

Price distribution over 89 days • 2 price levels

Days at Price

Current Price

Price Analysis

Most common price: £73 (84 days, 94.4%)

Price range: £73 - £73

Price levels: 2 different prices over 89 days

Description

Just suppose, for a moment, that all rings of integers in algebraic number fields were unique factorization domains, then it would be fairly easy to produce a proof of Fermat's Last Theorem, fitting, say, in the margin of this page. Unfortunately however, rings of integers are not that nice in general, so that, for centuries, math ematicians had to search for alternative proofs, a quest which culminated finally in Wiles' marvelous results - but this is history. The fact remains that modern algebraic number theory really started off with in vestigating the problem which rings of integers actually are unique factorization domains. The best approach to this question is, of course, through the general the ory of Dedekind rings, using the full power of their class group, whose vanishing is, by its very definition, equivalent to the unique factorization property. Using the fact that a Dedekind ring is essentially just a one-dimensional global version of discrete valuation rings, one easily verifies that the class group of a Dedekind ring coincides with its Picard group, thus making it into a nice, functorial invariant, which may be studied and calculated through algebraic, geometric and co homological methods. In view of the success of the use of the class group within the framework of Dedekind rings, one may wonder whether it may be applied in other contexts as well. However, for more general rings, even the definition of the class group itself causes problems.

Product Specifications

Brand: Springer
Format: paperback
ASIN: 9401064946
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 03 October 2013
Listed Since: 20 September 2013

Barcode

No barcode data available

Springer Classical and Involutive Invariants of Krull Domains: 5 (K-Monographs in Mathematics, 5)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Markov's Theorem and 100 Years of the Uniqueness Conjecture: A Mathematical Journey from Irrational Numbers to Perfect Matchings

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

The Classification of Finite Simple Groups: Volume 1: Groups of Noncharacteristic 2 Type (University Series in Mathematics)

Structure Theory: 1 (De Gruyter Expositions in Mathematics): 38

Rings, Modules, and Closure Operations (Springer Monographs in Mathematics)

Not Always Buried Deep: A Second Course in Elementary Number Theory (Monograph Books)

Introduction to the Theory of Algebraic Functions of One Variable (Mathematical Surveys and Monographs)

Topics in Number Theory (Monographs in Number Theory): 2

Cohomology of Drinfeld Modular Varieties, Part 1, Geometry, Counting of Points and Local Harmonic Analysis: 41 (Cambridge Studies in Advanced Mathematics, Series Number 41)

Moufang Sets and Structurable Division Algebras (Memoirs of the American Mathematical Society)

Integration of One–Forms on P–Adic Analytic Spaces (Annals of Mathematics Studies, 162)

Eisenstein Series and Applications: 258 (Progress in Mathematics, 258)

Group Theory in China: v. 365 (Mathematics and its Applications)

Topological Rings (Volume 178) (North-Holland Mathematics Studies, Volume 178)

General Theory of Leibniz Algebras (Synthesis Lectures on Mathematics & Statistics)

Hidden Harmony―Geometric Fantasies: The Rise of Complex Function Theory (Sources and Studies in the History of Mathematics and Physical Sciences)

Arithmetic Functions and Integer Products: 272 (Grundlehren der mathematischen Wissenschaften, 272)

Combinatorial Complexes: A Mathematical Theory of Algorithms: 2 (Mathematics and Its Applications, 2)

Steps into Analytic Number Theory: A Problem-Based Introduction (Problem Books in Mathematics)

Introduction to Quantum Groups

Introduction to Number Theory

Extremal Combinatorics: With Applications in Computer Science (Texts in Theoretical Computer Science. An EATCS Series)

Model Theory in Algebra, Analysis and Arithmetic: Cetraro, Italy 2012, Editors: H. Dugald Macpherson, Carlo Toffalori: 2111 (Lecture Notes in Mathematics, 2111)

Shafarevich-Tate Groups (Frontiers in Mathematics)