The Congruences of a Finite Lattice. A Proof-by-Picture Approach.

Grätzer, George:

ISBN 10: 0817632247 / ISBN 13: 9780817632243

Published by Boston / Basel, Birkhäuser, 2006

About this Item

XI / 281 pp. -Please note: Due to the new US customs regulations orders from the US cannot be processed- Sprache: Englisch Gewicht in Gramm: 500 Original-Hardcover, slightly rubbed, otherwise fine.

Seller Inventory # 501429

Bibliographic Details

• Title: The Congruences of a Finite Lattice. A Proof-by-Picture Approach.
• Publisher: Boston / Basel, Birkhäuser
• Publication Date: 2006
• Language: English
• ISBN 10: 0817632247
• ISBN 13: 9780817632243
• Binding: Hardcover
• Weight: 500 grams
• Seller catalogs:
  • Varia

About this title

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

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 of finite 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.