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.
%0 Book
%1 Jipsen1992
%A Jipsen, Peter
%A Rose, Henry
%D 1992
%I Springer Verlag
%K imported
%T Varieties of Lattices
%V Lecture Notes in Mathematics 1533
%X 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.
@book{Jipsen1992,
abstract = {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.},
added-at = {2009-04-08T07:57:12.000+0200},
author = {Jipsen, Peter and Rose, Henry},
biburl = {https://www.bibsonomy.org/bibtex/25872d08305e0d6fd11881464feb15904/aihec},
interhash = {3c059c795ea222bef82aeadbbc53f521},
intrahash = {5872d08305e0d6fd11881464feb15904},
keywords = {imported},
owner = {Clifton Phua},
publisher = {Springer Verlag},
timestamp = {2009-04-08T07:57:12.000+0200},
title = {Varieties of Lattices},
volume = {Lecture Notes in Mathematics 1533},
year = 1992
}