Module Theory Papers and Problems from The Special Session Sponsored

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700 Module Theory Papers and Problems from The Special Session Sponsored by The American Mathematical Society at The University of Washington Proceedings, Seattle, August 15-18,1977

Edited by Carl Faith and Sylvia Wiegand

Springer-Verlag Berlin Heidelberg New York 1979

Lecture Notes in Mathematics Edited by A. Dold and B. Eckmann

700 Module Theory Papers and Problems from The Special Session Sponsored by The American Mathematical Society at The University of Washington Proceedings, Seattle, August 15-18,1977

Edited by Carl Faith and Sylvia Wiegand

Springer-Verlag Berlin Heidelberg New York 1979

Editors Carl Faith Department of Mathematics Rutgers, The State University New Brunswick, New Jersey 08903/USA

Sylvia Wiegand Department of Mathematics University of Nebraska Lincoln, Nebraska 68588/USA

AMSSubjectClassifications(1970): 13A 15,13B20,13B99,13C10,13C15, 13005, 13F05, 13F15, 13F20, 13HlO, 16A08, 16A34, 16A52, 16A62, 16A64, 16A66, 18GXX. ISBN 3-540-09107-6 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-09107-6 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 1979 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2141/3140-543210

"I am go ing to hang up the glove s next yea r" (Nathan Jacobson)

DEDICATION

The contributors and particpants of the Special Session dedicate this volume to Nathan Jacobson in admiration, and gratitude for showing us what to do in the ring (theory) .

PREFACE

The editors wish to thank the partie ipants and contributors for their splendid cooperation, and for their joie de vivre which rnade the Special Session so mu ch fun. The senior editor has grouped the contributed papers along ideological lines whenever possible, although, like rnuc h ideology, these are far-fetched in rrian y cases.

It therefore would serve no

useful purpose to expose this here, but the reading is certainly better served this way than the old ABC way. that

Dr. J. T. Stafford

One ought to rnen tion

appeared first in the prograITl, as a guest

of the Society introduced by the senior editor, and that Dr. Warfield's paper just has to follow Stafford's.

Et cetera.

LIST OF PARTICIPANTS AND CONTRIBUTORS

G. Azumaya Indiana University Bloomington, IN 47401

S. Mohamed

J. Beachy Northern Illinois Univ. DeKalb, IL 60115

B. L. Osofsky Rutgers University New Brunswick, NJ 08903

A. K. Boyle University of Wisconsin Milwaukee, WI 53706

Z. Papp George Mason University Fairfax, VA 22030

V. Camillo University of Iowa Iowa City, IA 52240

Smith University of Texas Aus