Ring Theory [electronic resource] : Proceedings of a Conference held in Granada, Spain, Sept. 1–6, 1986 / edited by Jose Luis Bueso, Pascual Jara, Blas Torrecillas.

Contributor(s): Bueso, Jose Luis [editor.] | Jara, Pascual [editor.] | Torrecillas, Blas [editor.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics ; 1328Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1988Description: XII, 336 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540392781Subject(s): Mathematics | Algebra | Mathematics | AlgebraAdditional physical formats: Printed edition:: No titleDDC classification: 512 LOC classification: QA150-272Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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.
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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.

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.

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