Methods in ring theory

edited by F. van Oystaeyen

Proceedings of the NATO Advanced Study Institute, Antwerp, Belgium, August 2-12, 1983

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  • R-Prufer Rings and Approximation Theorems.- Certain Artinian Lattices Are Noetherian. Applications to the Relative Hopkins-Levitzki Theorem.- A Generalization of Semisimple Modules.- Graded Complete and Graded Henselian Rings.- Cyclic Classes in Relative Brauer Groups.- Simple Noetherian Non-Matrix Rings.- Group-Gradings of Categories.- Brauer Groups of Homogeneous Spaces I.- Simple Submodules in a Finite Direct Sum of Uniform Modules.- Functors of Graded Rings.- Sur une Classe d'Algebres Filtrees.- Some Special Class of Artin Rings of Finite Type.- Group Rings and Maximal Orders.- A Note on Infinite Torsion Primes of a Commutative Ring.- Applications of Kummer Theory Without Roots of Unity.- The Index of Nility of a Matrix Ring Over a Ring With Bounded Index.- On Algebraic Derivations of Prime Rings.- Smooth Maximal Orders in Quaternion Algebras I.- Group Rings and Division Rings.- On Free Subobjects of Skew Fields.- Herstein's Lie and Jordan Theory Revisited.- Divisorially Graded Orders in a Simple Artinian Ring.- ? -Injective Modules and QF-3 Endomorphism Rings.- Group Actions on Rings: Some Classical Problems.- Links Between Maximal Ideals in Bounded Noetherian Prime Rings of Krull Dimension One.- Noetherian Subrings of Quotient Rings.- Stability Conditions for Cummutative Rings with Krull Dimension.- Cancellative Group-Graded Rings.- The Automorphism Group of a Polynomial Algebra.- Auslander-Reiten Quivers for Some Artinian Torsion Theories and Integral Representations.- Automorphisms and Isomorphisms of Integral Group Rings of Finite Groups.- Self-Injective Dimension of Serial Rings.- Smooth Affine PI Algebras.- Questions on Skew Fields.- Torsion Units in Group Rings.- On the Length of Decompositions of Central Simple Algebras in Tensor Products of Symbols.- A Duality Theorem for Hopf Algebras.- Note on Central Class Groups of Orders Over Krull Domains.- On the Picard Group of a Quasi-Affine Scheme.- Duality Theory for Quasi-Injective Modules.- List of Participants.

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書名 Methods in ring theory
著作者等 NATO Advanced Study Institute on Methods in Ring Theory
Oystaeyen, Freddy Marguerite Joseph van
Ostaeyen F. van
シリーズ名 NATO ASI series
出版元 Published in cooperation with NATO Scientific Affairs Division [by] D. Reidel Pub. Co.;Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers
刊行年月 c1984
ページ数 viii, 576 p.
大きさ 25 cm
ISBN 9027717435
NCID BA00726859
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言語 英語
出版国 オランダ