EuDML | Browse

Page 1

Displaying 1 – 3 of 3

Finite atomistic lattices that can be represented as lattices of quasivarieties

K. Adaricheva, Wiesław Dziobiak, V. Gorbunov (1993)

Fundamenta Mathematicae

We prove that a finite atomistic lattice can be represented as a lattice of quasivarieties if and only if it is isomorphic to the lattice of all subsemilattices of a finite semilattice. This settles a conjecture that appeared in the context of [11].

Finitely generated almost universal varieties of $0$ -lattices

Václav Koubek, Jiří Sichler (2005)

Commentationes Mathematicae Universitatis Carolinae

A concrete category $𝕂$ is (algebraically) universal if any category of algebras has a full embedding into $𝕂$ , and $𝕂$ is almost universal if there is a class $𝒞$ of $𝕂$ -objects such that all non-constant homomorphisms between them form a universal category. The main result of this paper fully characterizes the finitely generated varieties of $0$ -lattices which are almost universal.

Finitely generated congruence distributive quasivarieties of algebras

Wiesław Dziobiak (1989)

Fundamenta Mathematicae

Displaying 1 – 3 of 3

Finite atomistic lattices that can be represented as lattices of quasivarieties

Finitely generated almost universal varieties of 0 -lattices

Finitely generated congruence distributive quasivarieties of algebras

Currently displaying 1 – 3 of 3

Finitely generated almost universal varieties of $0$ -lattices