1st Edition
Algebra And Number Theory
304 Pages
by
CRC Press
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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
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
Biography
Mohammed Boulagouaz, Jean-Pierre Tignol
