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Table of Contents
I: A Brief Introduction to Lattices
Basic Concepts
Special Concepts
Congruences
Planar Semimodular Lattices
II: Some Special Techniques
Chopped Lattices
Boolean Triples
Cubic Extensions
III: Congruence Lattices of Finite Lattices
The Dilworth Theorem
Minimal Representations
Semimodular Lattices
Rectangular Lattices
Modular Lattices
Uniform Lattices
IV: Congruence Lattices and Lattice Extensions
Sectionally Complemented Lattices
Semimodular Lattices
Isoform Lattices
The Congruence Lattice and the Automorphism Group
Magic Wands
V: Congruence Lattices of Two Related Lattices
Sublattices
Ideals
Tensor Extensions
VI The Ordered Set of Principal Congruences
Representation Theorems
Isotone Maps
VII: Congruence Structure
Prime Intervals and Congruences
Some Applications of the Swing Lemma.
Basic Concepts
Special Concepts
Congruences
Planar Semimodular Lattices
II: Some Special Techniques
Chopped Lattices
Boolean Triples
Cubic Extensions
III: Congruence Lattices of Finite Lattices
The Dilworth Theorem
Minimal Representations
Semimodular Lattices
Rectangular Lattices
Modular Lattices
Uniform Lattices
IV: Congruence Lattices and Lattice Extensions
Sectionally Complemented Lattices
Semimodular Lattices
Isoform Lattices
The Congruence Lattice and the Automorphism Group
Magic Wands
V: Congruence Lattices of Two Related Lattices
Sublattices
Ideals
Tensor Extensions
VI The Ordered Set of Principal Congruences
Representation Theorems
Isotone Maps
VII: Congruence Structure
Prime Intervals and Congruences
Some Applications of the Swing Lemma.