Lectures on the Applications of Sheaves to Ring Theory
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248 Lectures on the Applications of Sheaves to Ring Theory
Springer-Verlag Berlin . Heidelberg . New York 1971
Lecture Notes in Mathematics A collection of informal reports and seminars Edited by A. Dold, Heidelberg and B. Eckmann, ZUrich Tulane University Ring and Operator Theory Year, 1970-1971 Volume III
248 Lectures on the Applications of Sheaves to Ring Theory
Springer-Verlag Berlin . Heidelberg . New York 1971
AMS Subject Classifications (1970): 06A70, 14F05, 16AI0, 46LI0, 55B30, 58A05
ISBN 3-540-05714-5 Springer-Verlag Berlin· Heidelberg· New York ISBN 0-387-05714-5 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 the publisher, the amount of the fee to be determined by agreement with the publisher. © by Springer-Verlag Berlin· Heidelberg 1971. Library of Congress Catalog Card Number 70-185194. Printed in Germany.
Offsetdruek: Julius Beltz, HemsbschlBergstr.
ACKNOWLEDGEMENTS
The special year in the Theory of Rings and operator Algebras was the third program of a similar kind held at Tulane University, following one in the Theory of C*-Algebras and one in Category Theory.
These programs were made possible solely through a grant
from the Ford Foundation.
We wish to express our sincere gratitude
to the Ford Foundation for its generous support and cooperation.
A few participants were supported by other agencies:
Hans H.
held a fellowship of the Schweizerischer Nationalfonds zur Forderung der Wissenschaftlichen Forschung while he spent the year at Tulane University.
Silviu Teleman was able to spend several
months at Tulane University, thanks to the exchange proqram between the National Academy of Sciences of the U. S. A. and the Academy of Sciences of the Socialist Republic of Rumania. Tulane University provided the facilities for the program and administered the grant. Most of these notes were typed efficiently and patiently by the secretarial staff of the Mathematics Department of Tulane University. Karl Heinrich Hofmann
PREFACE
From September 1970 through May 1971 Tulane University organized a special year
long program in the theory of non-commutative rings and
operator algebras.
Visitors from various institutions of the U.S.A.
and abroad contributed series of lectures in which they covered recent advances in their own field of specialty.
These notes contain these
lectures to the extent that they have not appeared alsewhere. The contributions are collected in three volumes; the division is roughly the following:
Volume I represents the purely algebraic side
of the program with lectures in the structure theory of rings and modules; in Volume II we collected contributions to the analysis section of
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