The congruences of a lattice form the congruence lattice. Over the last several decades, the study of congruence lattices has established itself as a large and important field with a great number of interesting and deep results, as well as many open problems. Written by one of the leading experts in lattice theory, this text provides a self-contained introduction to congruences of finite lattices and presents the major results of the last 90 years. It features the author’s signature “Proof-by-Picture” method, which is used to convey the ideas behind formal proofs in a visual, more intuitive manner.
Key features include:
- an insightful discussion of techniques to construct “nice” finite lattices with given congruence lattices and “nice” congruence-preserving extensions
- complete proofs, an extensive bibliography and index, and over 180 illustrations
- additional chapters covering new results of the last seven years, increasing the size of this edition to 430 pages, 360 statements, and 262 references
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