Ring Theory

The papers in this proceedings volume are selected research papers in different areas of ring theory, including graded rings, differential operator rings, K-theory of noetherian rings, torsion theory, regular rings, cohomology of algebras, local cohomology of noncommutative rings. The book will be important for mathematicians active in research in ring theory.

Inhalt

Stable range of aleph-nought-continuou regular rings.- On filtered rings with noetherian associated graded rings.- Duality theorems for group actions and gradings.- Chain rings and valuations.- Directly finite ?0-complete regular rings are unit-regular.- Cancellation theorems for projective graded modules.- Centraliseurs dans les anneaux de polynomes differentiels formels et leurs corps de fractions.- Regular group algebras whose maximal right and left quotient rings coincide.- A survey of recent work on the cohomology of one-relator associative algebras.- Semiprime alternative rings with A.C.C..- Continuous and pf rings of quotients.- Rings of quotients of endomorphism rings.- Some criteria for solvability of systems of linear equations over modules.- Centers of generic division algebras and zeta - functions.- Frobenius reciprocity and G0 of skew group rings.- Algèbre homologique et opérateurs différentiels.- Cancellation modules over regular rings.- Noetherian property for semigroup rings.- Semi-rings and spectral spaces.- Some new progress on the isomorphismproblem for integral group rings.- A proof of the class sum correspondence using the real group algebra.- Une caracterisation des anneaux artiniens a ideaux principaux.- Krull and Gabriel dimension relative to a linear topology.- On determinantal ideals over certain non commutative rings.- Large subdirect products.- Socle and semicocritical series.- Local cohomology of noncommutative rings: a geometric interpretation.