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OverviewThis 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 DetailsAuthor: Mohammed Boulagouaz , Jean-Pierre TignolPublisher: Taylor & Francis Inc Imprint: Marcel Dekker Inc Volume: v. 208 Dimensions: Width: 17.80cm , Height: 1.40cm , Length: 25.40cm Weight: 0.546kg ISBN: 9780824703417ISBN 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 ContentsFP-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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |