Sumários

Aula 27

19 Abril 2021, 15:30 • Maria João Antunes Dias Gouveia

Determination of (completely) join and meet irreducible elements in finite and infinite lattices.

Aula 26: 15-04, 14h30m-16h

16 Abril 2021, 13:00 • Maria João Antunes Dias Gouveia

Evaluation test.

Aula 25

14 Abril 2021, 11:30 • Maria João Antunes Dias Gouveia

Join-irreducible and meet-irreducible elements, completely join-irreducible and completely meet-irreducible elements of a lattice. Examples.

Aula 24

12 Abril 2021, 15:30 • Maria João Antunes Dias Gouveia

Congruence-distributive varieties. Jónsson's Lemma. The class of subdirectly irreducible algebras of a variety V is a subclass of HS(K) for any finite set K of finite algebras that generates V. Every lattice-based algebra is congruence-distributive.
S6  of Chapter IV and pages  79-80 of "A course in Universal Algebra", Burris and Sankappanavar

3.3 and pages 145-146 of Bergman's book, Universal Algebra

Aula 23: 08-04-2021, 14h30m-16h

9 Abril 2021, 13:00 • Maria João Antunes Dias Gouveia

Resolution of exercises related with distributive and modular lattices.