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Lattice Theory 2

Class at Faculty of Mathematics and Physics |
NMAG466

Syllabus

Free lattices: free lattice and free product, Whitman's conditions, free lattice generated by three elements, semidistributive lattices, covers in free lattices

Lattice varieties: varieties and fully invariant congruence relations, structure of lattice varieties, equational bases

Tensor product: tensor product of join-semilattices, capped product, tensor product and congruences

Representation of algebraic lattices:

Lampe's theorem, Kuratowski lemma, Dilworth's congruence lattice problem

Annotation

Free lattice, lattice varieties, tensor product of lattices, representation of algebraic lattices.