Congruences of a Finite Lattice

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.

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• Lógica matemática
• Álgebra
• Fundamentos da Matemática
• Probabilidade e Estatística
• Estocástica
• Teoria dos números

Lattices;Congruence;Boolean Triples;Minimal Representation;Automorphism Group;Principal Congruences;Prime Interval