Ring Theory Proceedings of a Conference held in Granada, Spain, Sept
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 cohomolog
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1328 J. L. Bueso P Jara
B. Torrecillas (Eds.)
Ring Theory Proceedings of a Conference held in Granada, Spain, Sept. 1-6, 1986
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo
Editors
Jose Luis Bueso Pascual Jara BIas Torrecillas Departamento de Algebra, Facultad de Ciencias Universidad de Granada 18071 Granada, Spain
Mathematics Subject Classification (1980): 16-02, 16-06, 16A03, 16A06, 16A08, 16A26, 16A30, 16A54, 16A55, 16A61, 16A63 ISBN 3-540-19474-6 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-19474-6 Springer-Verlag New York Berlin Heidelberg
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. Duplication of this publication or parts thereof is only permitted under the provisions of the German Copyright Law of September 9, 1965, in its version of June 24, 1985, and a copyright fee must always be paid. Violations fall under the prosecution act of the German Copyright Law.
© Springer-Verlag Berlin Heidelberg 1988 Printed in Germany Printing and binding: Druckhaus Beltz, HemsbachfBergstr. 2146/3140-543210
EDITORIAL These proceedings contain papers presented in the meeting in "Ring Theory" celebrated in Granada (SPAIN).
Not all the lectures and communi-
cations appear here, some of them were given by invited speakers, who were unable to attend, and others are being published elsewhere.
The editors want to thank to the participants for their cooperation during the meeting and in preparing this volume; especially we thank to Professor F. van Oystaeyen.
IV ACKNOWLEDGEMENT
The
meeting
September
1st
held
until
at
the
University
September
is
6th,
of
Granada
financed
by
from the
following corporations: -
Junta de Andalucia.
-
CAYCrT.
-
Excelentisima Diputaci6n Provincial de Granada.
-
Banco Exterior de Espana.
-
Caja General de Ahorros de Granada.
-
Proyecto de investigaci6n CAYCrT:
-
Facultad de Ciencias.
-
Universidad de Granada.
We
thank
Department
of
the
staff
Algebra
for
of
the
Faculty
providing
in the organization of this meeting.
"Teoria de anillos".
of
facilities
Sciences and
and
support
TABLE OF CONTENTS ARA, P., "Stable range of alef-nought-continuous regular ring".
1
AVAMI-VAN OYSTAEYEN. On filtered rings with noetherian associated graded rings.
8
BEATTIE, M., "Duality theorems for group actions and gradings".
28
BRUNGS, H.H. "Chain rings and valuations".
33
BUSQUE, C., "Directly finite aleph-nought complete regular rings are unit-regular".
38
CAENEPEEL, S., "Cancelations theorems for Projective Graded Modules"
50
CAUCHON, G. "Centraliseurs dans les anneaux de polynCimes differentiels formels et leurs corps de fractions".
60
CEDO, F., "Regular group algebras whose maximal right and left quotient 69
rings coincide". DICKS, W., "A survey of recent work on the cohomology of
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