Semigroups Theory and Applications Proceedings of a Conference held

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1320 H. Jurgensen G. Lallement H. J. Weinert (Eds.)

Semigroups Theory and Applications Proceedings of a Conference held in Oberwolfach, FRG, Feb. 23 - Mar. 1, 1986

Springer-Verlag Berlin Heidelberg New York London Paris Tokyo

Editors

Helmut Jurgensen Department of Computer Science, The University of Western Ontario London, Ontario, Canada, N6A 5B7 Gerard Lallement Department of Mathematics, Pennsylvania State University University Park, PA 16802, USA Hanns Joachim Weinert Institut fur Mathematik, Technische Universitat Clausthal 3392 Clausthal Zellerfeld, Federal Republic of Germany

Mathematics Subject Classification (1980): 20L05, 20M05, 20M07, 20M 10, 20M17, 20M18, 20M20, 20M25, 20M35, 20M50, 68045, 68050, 68T15, 94B45,94B60 ISBN 3-540-19347-2 Springer-Verlag Berlin Heidelberg New York ISBN 0-387 -19347 -2 Springer-Verlag New York Berlin Heidelberg

Library of Congress Cataloging-in-Publication Data. Semigroups: theory and applications: Proceedings of a conference held in Oberwolfach, FRG, Feb. 23 - Mar. 1, 1986/ H. Jurgensen, G. Lallement, H.J. Weinert, eds. p, crn.e-tl.ecture notes in mathematics; 1320) Bibliography: p. ISBN 0-387-19347-2 (U.S.) 1. Semigroups-Congresses, l.Jurqensen, Helmut. II. Lallement, Gerard, 1935-, III. Weinert, Hanns-Joachim. IV. Series: Lectures notes in mathematics (Springer-Verlag); 1320. QA3.L28 no, 1320 [QA171] 512'.2-dc 1988-14699 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, Hemsbach/Bergstr. 2146/3140-543210

PREFACE

During the week of February 23rd to March 1st, 1986, a conference on semigroups was held at Oberwolfach, Germany, at the Mathematisches Forschungsinstitut. It was organized by H. Jurgensen (The University of Western Ontario), G. Lallement (Pennsylvania State University), and H. J. Weinert (Technische Universitiit Clausthal). It was the third conference on semigroups held at Oberwolfach, this time with an emphasis on combinatorial semigroups and their applications. The previous ones were held in 1978 and 1981. Their proceedings have been published as volumes 855 and 998 of these Lecture Notes in Mathematics. The conference was attended by 53 participants from 15 countries: 11 from Germany; 25 from the countries of Czechoslovakia, Finland, France, Hungary, the Netherlands, Poland, Portugal, theSoviet Union, the United Kingdom, and Yugoslavia; 15 from Canada and the United States; 1 from each of Australia and Taiwan. The conference program includ