Peter Jipsen, Henry Rose (auth.)9780387563145, 0387563148, 3540563148, 9783540563143
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. |
Table of contents :
Preliminaries….Pages 1-12
General results….Pages 13-45
Modular varieties….Pages 46-76
Nonmodular varieties….Pages 77-114
Equational bases….Pages 115-127
Amalgamation in lattice varieties….Pages 128-148 |
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