The Congruences of a Finite Lattice: A 'Proof-by-Picture' Approach - Hardcover

Gratzer, George A.

Hardcover

ISBN 10: 0817632247 ISBN 13: 9780817632243

Publisher: Birkhauser Boston Inc, 2005

Synopsis

Self-contained exposition presents the major results on congruence lattices of finite lattices

Includes the latest findings from a pioneering researcher in the field

Features the author's signature "Proof-by-Picture" method and its conversion to transparencies

Contains complete proofs, an extensive bibliography and index, and nearly 80 open problems

Excellent grad text and reference

About this title

From the Back Cover

The congruences of a lattice form the congruence lattice. In the past half-century, the study of congruence lattices has become a large and important field with a great number of interesting and deep results and many open problems. This self-contained exposition by one of the leading experts in lattice theory, George Grätzer, presents the major results on congruence lattices offinite lattices featuring the author's signature "Proof-by-Picture" method and its conversion to transparencies.

Key features:

* Includes the latest findings from a pioneering researcher in the field

* Insightful discussion of techniques to construct "nice" finite lattices with given congruence lattices and "nice" congruence-preserving extensions

* Contains complete proofs, an extensive bibliography and index, and nearly 80 open problems

* Additional information provided by the author online at:

http://www.maths.umanitoba.ca/homepages/gratzer.html/

The book is appropriate for a one-semester graduate course in lattice theory, yet is also designed as a practical reference for researchers studying lattices.

Edition details

• Publisher: Birkhauser Boston Inc
• Publication date: 2005
• Language: English
• ISBN 10: 0817632247
• ISBN 13: 9780817632243
• Binding: Hardcover
• Number of pages: 308