The study of lattice varieties is a field that has experienced rapid growth in the last 30 years, but many of the interesting and deep results discovered in that period have so far only appeared in research papers. The aim of this monograph is to present the main results about modular and nonmodular varieties, equational bases and the amalgamation property in a uniform way. The first chapter covers preliminaries that make the material accessible to anyone who has had an introductory course in universal algebra. Each subsequent chapter begins with a short historical introduction which sites the original references and then presents the results with complete proofs (in nearly all cases). Numerous diagrams illustrate the beauty of lattice theory and aid in the visualization of many proofs. An extensive index and bibliography also make the monograph a useful reference work.

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Bibliographic Information

Book Title: Varieties of Lattices
Authors: Peter Jipsen, Henry Rose
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0090224
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1992
Softcover ISBN: 978-3-540-56314-3Published: 14 December 1992
eBook ISBN: 978-3-540-47514-9Published: 15 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: X, 166
Topics: Algebra

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Table of contents (6 chapters)

Front Matter

Preliminaries

General results

Modular varieties

Nonmodular varieties

Equational bases

Amalgamation in lattice varieties

Back Matter

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