Varieties of Lattices
Jipsen, Peter.
Varieties of Lattices [electronic resource] / by Peter Jipsen, Henry Rose. - X, 166 p. online resource. - Lecture Notes in Mathematics, 1533 0075-8434 ; . - Lecture Notes in Mathematics, 1533 .
Preliminaries -- General results -- Modular varieties -- Nonmodular varieties -- Equational bases -- Amalgamation in lattice varieties.
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.
9783540475149
10.1007/BFb0090224 doi
Algebra.
Algebra.
QA150-272
512
Varieties of Lattices [electronic resource] / by Peter Jipsen, Henry Rose. - X, 166 p. online resource. - Lecture Notes in Mathematics, 1533 0075-8434 ; . - Lecture Notes in Mathematics, 1533 .
Preliminaries -- General results -- Modular varieties -- Nonmodular varieties -- Equational bases -- Amalgamation in lattice varieties.
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.
9783540475149
10.1007/BFb0090224 doi
Algebra.
Algebra.
QA150-272
512