The Congruences of a Finite Lattice: A Proof-by-Picture Approach, 2nd Edition
George Grätzer, "The Congruences of a Finite Lattice: A Proof-by-Picture Approach, 2nd Edition"
2016 | ISBN-10: 3319387960 | 346 pages | EPUB | 6 MB
2016 | ISBN-10: 3319387960 | 346 pages | EPUB | 6 MB
This is a self-contained exposition by one of the leading experts in lattice theory, George Grätzer, presenting the major results of the last 70 years on congruence lattices of finite lattices, featuring the author's signature Proof-by-Picture method.
Key features:
* 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 over 140 illustrations
* This new edition includes two new parts on Planar Semimodular Lattices and The Order of Principle Congruences, covering the research of the last 10 years
The book is appropriate for a one-semester graduate course in lattice theory, and it is a practical reference for researchers studying lattices.