Universal Algebra and Lattice Theory Proceedings of a Conference hel

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1149 Universal Algebra and Lattice Theory Proceedings of a Conference held at Charleston, July 11-14, 1984

Edited by Stephen D. Comer

Springer-Verlag Berlin Heidelberg New York Tokyo

Editor

Stephen D. Comer Department of Mathematics and Computer Science, The Citadel Charleston, S. C. 29409, USA

Mathematics Subject Classification (1980): 03G 15, 06B05, 06B20, 06B25, 06C05, 06D 10, 08A05, 08A35, 08A50, 08B 10, 08B20 ISBN 3-540-15691-7 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-15691-7 Springer-Verlag New York Heidelberg Berlin Tokyo

Library of Congress Cataloging in Publication Data. Main entry under title: Universal algebra and lattice theory. (Lecture notes in mathematics; 1149) 1. Algebra, Universal-Congresses, 2, Lattice theory-Congresses, I, Comer, Stephen D" 1941-. II, Series: Lecture notes in mathematics (Springer-Verlag); 1149, OA3,L28 no, 1149 [OA251J 510 s [512J 85-17329 ISBN 0-387-15691-7 (U,S.) 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 "Verwertunqsqesellschaft Wort", Munich,

© by Springer-Verlag Berlin Heidelberg 1985 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2146/3140-543210

FOREWARD

The conference on Universal Algebra and Lattice Theory held at The Citadel in Charleston, South Carolina from July 11 to July 14, 1984 was attended by 71 mathematicians from seven countries.

The purpose of the meeting was to bring together

in North America for the first time since 1982 an international collection of active researchers representing current trends in the field.

The scientific program

consisted of eight invited lectures and 28 contributed talks. The present volume contains research papers based on lectures presented at the conference as well as contributions from colleagues who were invited to submit manuscripts that contain significant new results. are represented in the proceedings.

Several directions of current research

In keeping with the tradition set by its origin,

it is notable that there are a number of papers that deal with connections between lattice theory and universal algebra and other areas of mathematics such as geometry, graph theory, group theory and logic.

The editor wishes to thank the numerous

individuals who refereed the manuscripts submitted.

The editor also wishes to thank

the other members of the organizing committee, Bjarni Jonsson and Trevor Evans, for their valuable advice and guidance and to thank his colleagues at The Citadel for their practical support - in particular, Charles Cleaver, Leslie Crabtree, Margaret Francel, Jean-Marie Pages, and Russ Thompson. Financial support for the conference from the National Science Foundation and The Citadel Development Foundat