Sumários

Aula 32: 29-04 14h30m-16h

30 Abril 2021, 13:00 Maria João Antunes Dias Gouveia

Resolution of exercises of worksheet 7.


Aula 31

28 Abril 2021, 11:30 Maria João Antunes Dias Gouveia

The term algebra of type F over some set X. Examples. The determination of term operations on an algebra and its correspondence with the terms.


Aula 30

26 Abril 2021, 15:30 Maria João Antunes Dias Gouveia

A lattice is complete iff it is, up to isomorphism, the lattice of C-closed sets for some closure operator C. The closure operators for well known complete lattices associate to any algebra. Algebraic closure operators, algebraic lattices and their correlation.

Section 2.4 till Thm 2.32 of Bergman book
Section 5 of Chapter I, Burris and Sankappanavar book


Aula 29: 22-04, 14h30m-16h

23 Abril 2021, 13:00 Maria João Antunes Dias Gouveia

Resolution of exercises to introduce closure operators.


Aula 28

21 Abril 2021, 11:30 Maria João Antunes Dias Gouveia

Birkhoff's Representation Theorem for finite distributive lattices.

(Thm 5.12 of Davey and Priestley book "Introduction to Lattices and Order")