The Congruences Of A Finite Lattice : A Proof-by-picture Approach

George Grätzer

ISBN 10: 0817632247 / ISBN 13: 9780817632243

Editore: Birkhäuser Boston, 2005

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This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide. Codice articolo ABNR-92248

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Titolo: The Congruences Of A Finite Lattice : A ...

Casa editrice: Birkhäuser Boston

Data di pubblicazione: 2005

Legatura: Rilegato

Condizione: New

Descrizione articolo

Riassunto:

Self-contained exposition presents the major results on congruence lattices offinite 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

Dalla quarta di copertina:

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.