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.
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Maße
Höhe: 254 mm
Breite: 178 mm
Gewicht
ISBN-13
978-0-8247-0341-7 (9780824703417)
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Schweitzer Klassifikation
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.
