Universal Algebra and Lattice Theory Proceedings of the Fourth Inter
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Universal Algebra and Lattice Theory Proceedings of the Fourth International Conference Held at Puebla, Mexico, 1982
Edited by R. S. Freese and O. C. Garcia
ETHICS ETH-BIB
00100000373212
Springer-Verlag Berlin Heidelberg New York Tokyo 1983
Editors
Ralph S. Freese University of Hawaii at Manoa, Department of Mathematics 2565 The Mall, Honolulu, Hawai 96822, USA Octavio C. Garcia Instituto de Matematicas-UNAM Area de la Investigaci6n Cientlfica Circuito Exterior Cd. Universitaria Mexico 20, D.F. Mexico
AMS Subject Classifications (1980): 06C05, 06005, 06F15, 08A05, 08A40, 08B05, 08B15, 08B20 ISBN 3-540-12329-6 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-12329-6 Springer-Verlag New York Heidelberg Berlin Tokyo 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.
© by Springer-Verlag Berlin Heidelberg 1983 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2146/3140-543210
FOREWORD
These Proceedings contain papers based on lectures given at the Fourth International Conference on Universal Algebra and Lattice Theory held January 11-22, 1982 in Puebla, Mexico.
This volume offers the
reader a good sample of the recent advances and current trends in this active field. We would like to thank the authors for contributing very high quality papers and the referees for their careful job on each paper. We would also like to acknowledge the support of the Instituto de Mathematicas de la Universidad Nacional Autonoma de Mexico and the Instituto de Ciencias de la Universidad Autonoma de Puebla. to thank the organizing committee:
We wish
Bernhard Banachewski, Octavio C.
Garcia, Ralph McKenzie, George McNulty, Don Pigozzi, and Walter Taylor, and the local organizing committee: Cardenas, Octavio C.
Raymundo Bautista, Humberto
Emilio Lluis, and Jose Antonio de la Perra.
We would especially like to thank Ms. Lourdes Arceo for her continuous help and Springer-Verlag for its help in publishing these Proceedings. Ralph Freese
Octavio C.
Honolulu
Mexico, D.F.
Garcia
TABLE OF CONTENTS CLIFFORD BERGMAN The amalgamation class of a discriminator variety is finitely axiomatizable..................................
1
JOEL BERMAN Free spectra of 3-element algebras
10
GARY BRENNER and DONALD MONK Tree algebras and chains................................
54
STANLEY BURRIS Boolean constructions................................... STEPHEN D.
67
COMER
Extensions of polygroups
by
polygroups and their
representations using color schemes
91
GABOR CZEDLI A characterization for congruence semi-distributivity ... 104 ALAN DAY Geometrical applications in modular lattices
III
RALPH FREESE Subdirectly
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