Varieties of Lattices / by Peter Jipsen, Henry Rose.

Format:

Book

Author/Creator:

Jipsen, Peter, 1964- author.

Rose, Henry, author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1533.

Lecture Notes in Mathematics, 0075-8434 ; 1533

Language:

English

Subjects (All):

Algebra.

Local Subjects:

Algebra.

Physical Description:

1 online resource (X, 166 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1992.

System Details:

text file PDF

Summary:

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.

Contents:

Preliminaries

General results

Modular varieties

Nonmodular varieties

Equational bases

Amalgamation in lattice varieties.

Other Format:

Printed edition:

ISBN:

9783540475149

Access Restriction:

Restricted for use by site license.