Ring Theory Proceedings of an International Conference held in Antwe
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Ring Theory Proceedings of an International Conference held in Antwerp, April 1-5, 1985
Edited by F. M. J. van Oystaeyen
Spri nger-Verlag Berlin Heidelberg New York London Paris Tokyo
Editor
Freddy M.J. van Oystaeyen Department of Mathematics and Computer Science University of Antwerp U.I.A. Universiteitsplein 1, 2610 Wilrijk, Belgium
Mathematics Subject Classification (1980): 16-06 ISBN 3-540-16496-0 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-16496-0 Springer-Verlag New York Heidelberg Berlin
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to 'Verwertungsgesellschaft Wort", Munich.
© Springer-Verlag Berlin Heidelberg 1986 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2146/3140-543210
Foreword
Primarily, the "Contact Franco-Beige en Algebre" aims to continue and create contacts between French and Belgian algebraists, in particular ring theorists. It is hoped that such meetings will continue to be organized alternately in France and in Belgium and that the scope of these meetings can be extended so as to contain all areas of Algebra represented in both countries. Of course it is quite obvious that the development of any area in mathematics cannot benefit too much from a cooperation when the nationalities of the contributors would be restricted. Therefore, several mathematicians from abroad were invited to participate in this meeting and on the scientific level we were striving to obtain a picture of contemporary "Ring Theory" as varied and broad as possible. The boundaries of ring theory have always been fuzzy, or unclear to say the least, but what else can one expect from an object rooting in group theory, number theory, physics, representation theory, analysis, operator theory etc . . . . Now recently the unbiased observer may find that so-called ring theory has developed several branches that could equally well be termed homological algebra, sheaf theory, K-theary, field theory, geometry, differential operator theory etc . . . • This gives another explanation for using the word "Algebre" in the title of the meeting, but any way : "what's in a name ?".
Acknowledgement. The Ring Theory meeting organized at the University of Antwerp from April 1 till April 5 1985, was supported by the. following institutions : The National Foundation for Scientific Research (N.F.W.O.), the University of Antwerp U.l.A., the Ministries of National Education of the Flemish and the Francophone comunities in Belgium.
Contents.
page
J. Afev, Actions de groupes sur A
1
1
(C ) .
/
B.
Conditions Noetheriennes dans les anneaux gradues.
M. Beattie, The Subgroup Structure of the Brauer Groups of RG-dimodule
10
Algebras.
20
S. Caenepe
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