TY - BOOK AU - Jipsen,Peter AU - Rose,Henry ED - SpringerLink (Online service) TI - Varieties of Lattices T2 - Lecture Notes in Mathematics, SN - 9783540475149 AV - QA150-272 U1 - 512 23 PY - 1992/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematics KW - Algebra N1 - Preliminaries -- General results -- Modular varieties -- Nonmodular varieties -- Equational bases -- Amalgamation in lattice varieties N2 - 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 UR - http://dx.doi.org/10.1007/BFb0090224 ER -