http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
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.
Preface -- Contents -- Contributors -- Participants -- FP-gr-injective modules and gr-FC-rings -- Capitulation of the 2-ideal classes of Q(square rootp1p2, i) where p1 and p2 are primes such that p1 idential to 1 (mod 8), p2 identical to 5 (mod 8 and (p1/p2) = -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 -- pi-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 pi-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.