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Varieties of Lattices

Sofort lieferbar | Lieferzeit: Sofort lieferbar I
ISBN-13:
9783540475149
Veröffentl:
2006
Seiten:
166
Autor:
Peter Jipsen
Serie:
1533, Lecture Notes in Mathematics
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:

The study of lattice varieties is a field that hasexperienced 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.
Preliminaries.- General results.- Modular varieties.- Nonmodular varieties.- Equational bases.- Amalgamation in lattice varieties.

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