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

George Grätzer

ISBN 10: 0817632247 / ISBN 13: 9780817632243

Editore: Springer Basel AG, 2005

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Zustand: Sehr gut - Neubindung, Buchschnitt leicht verkürzt, 1. Auflage 2006 | Seiten: 282 | Sprache: Englisch | Produktart: Bücher. Codice articolo 2425396/12

Dati bibliografici

Titolo: The Congruences of a Finite Lattice : A ...

Casa editrice: Springer Basel AG

Data di pubblicazione: 2005

Legatura: Brossura

Condizione: Sehr gut

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

Recensione:

"The book is self-contained, with many detailed proofs presented that can be followed step-by-step. [I]n addition to giving the full formal detals of the proofs, the author chooses a somehow more pedagogical way that he calls Proof-by-Picture, somehow related to the combinatorial (as opposed to algebraic) nature of many of the presented results. I believe that this book is a much-needed tool for any mathematician wishing a gentle introduction to the field of congruences representations of finite lattices, with emphasisi on the more 'geometric' aspects."   ―Mathematical Reviews

"...covers very many interesting results on congruence lattices of finite distributive lattices and includes a wealth of open problems. The author’s decision to provide a graphical sketch of proofs before formal proofs works very well. The book is very well suited for self-study as an entrée to this research area for readers already acquainted with the basics of lattice theory."   ―SIGACT NEWS

"There exist a lot of interesting results in this area of lattice theory, and some of them are presented in this book. The monograph under review is an exceptional work in lattice theory, like all the contributions by this author. ... The way this book is written makes it extremely interesting for the specialists in the field but also for the students in lattice theory. Moreover, the author provides a series of companion lectures which help the reader to approach the Proof-by-Picture sections." (Cosmin Pelea, Studia Universitatis Babes-Bolyai Mathematica, Vol. LII (1), 2007)