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 p-adic analysis.

Full Product Details

Author:   Mohammed Boulagouaz ,  Jean-Pierre Tignol
Publisher:   Taylor & Francis Inc
Imprint:   Marcel Dekker Inc
Volume:   v. 208
Dimensions:   Width: 17.80cm , Height: 1.40cm , Length: 25.40cm
Weight:   0.546kg
ISBN:  

9780824703417

ISBN 10:   0824703413
Pages:   304
Publication Date:   01 November 1999
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Out of Print
Availability:   Out of stock  

Table of Contents

FP-gr-injective modules and gr-FC-rings; capitulation of the 2-ideal classes of Q(p1p2,1); an introduction to the Galois theory of graded rings; 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 cydic 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-module generalization; Socle-Fine characterization of Dedekind and regular rings; integral representation 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 centres of generic division algebras; a nonrational field, answering a question of Hajja; quadratic pairs on biquaternion algebras.

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