Algebra And Number Theory

by Mohammed Boulagouaz (Editor), Jean-Pierre Tignol (Editor)

Overview

This study demonstrates the key manipulations surrounding Brauer groups, graded rings, group representations, ideal classes of number fields, p-adic differential equations, and rationality problems of invariant fields - displaying a command of the most advanced methods in algebra. It describes new developments in noncommutative valuation theory and

Product Details

ISBN-13:	9781135552879
Publisher:	CRC Press
Publication date:	11/09/1999
Sold by:	Barnes & Noble
Format:	eBook
Pages:	304
File size:	1 MB

About the Author

Mohammed Boulagouaz, Jean-Pierre Tignol

Table of Contents

Preface, List of Contributors, Participants, FP-gr-Injective Modules and gr-FC-Rings, Capitulation of the 2-Ideal Classes of Q(p[sub(1)]p[sub(2)], i) Where p[sub(1)] and p[sub(2)] Are Primes Such That p[sub(1)] = 1 (mod 8), p[sub(2)] = 5 (mod 8) and (p[sub(1)]/p[sub(2)]) = -1, An Introduction to the Galois Theory for Graded Fields, Generic Abelian Crossed Products and Graded Division Algebras, Strictly Analytic p-adic Functions, The Brauer-Long Group Revisited: The Multiplication Rules, On Leopoldt's Index and a Special Class Number of Real Cyclic Extensions, The Coradical Filtration for Some Quantum Groups, p-adic Differential Equations, Orbitality and Vector Bundles, Multiplication Graded Rings, Linear and Monomial Automorphisms of Fields of Rational Functions: Some Elementary Issues, A Dual Notion of CS-Modules Generalization, Socle-Fine Characterization of Dedekind and Regular Rings, Integral Representations of Some p-Groups, Derivatives of Abstract Analytic Elements, Irregular p-adic Linear Differential Equations, The Brauer Group of Multiplicative Invariant Fields, The Brauer Group of the Centers of Generic Division Algebras, A Nonrational Field, Answering a Question of Hajja, Quadratic Pairs on Biquaternion Algebras

Editorial Reviews

Papers from a recent conference demonstrate key manipulations surrounding Brauer groups, graded rings, group representations, ideal classes of number fields,

-adic differential equations, and rationality problems of invariant fields. They examine new theoretical aspects of cohomology, nonrational fields, graded coalgebras, and decomposition of orthogonal involutions, and investigate generic abelian cross products, the uses of differential modules and the Robba condition, and the theory of graded field extensions. Contains some 300 references. Lacks a subject index. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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