A decomposition of homomorphic images of nearlattices

Ivan Chajda; Miroslav Kolařík

Displaying similar documents to “A decomposition of homomorphic images of nearlattices”

$𝒵$ -distributive function lattices

Marcel Erné (2013)

Mathematica Bohemica

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It is known that for a nonempty topological space $X$ and a nonsingleton complete lattice $Y$ endowed with the Scott topology, the partially ordered set $[X, Y]$ of all continuous functions from $X$ into $Y$ is a continuous lattice if and only if both $Y$ and the open set lattice $𝒪 X$ are continuous lattices. This result extends to certain classes of $𝒵$ -distributive lattices, where $𝒵$ is a subset system replacing the system $𝒟$ of all directed subsets (for which the $𝒟$ -distributive complete lattices are just...

$W$ -isomorphisms of distributive lattices

Ján Jakubík (1976)

Czechoslovak Mathematical Journal

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Ideals, congruences and annihilators on nearlattices

Ivan Chajda, Miroslav Kolařík (2007)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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By a nearlattice is meant a join-semilattice having the property that every principal filter is a lattice with respect to the semilattice order. We introduce the concept of (relative) annihilator of a nearlattice and characterize some properties like distributivity, modularity or $0$ -distributivity of nearlattices by means of certain properties of annihilators.

Displaying similar documents to “A decomposition of homomorphic images of nearlattices”

𝒵 -distributive function lattices

W -isomorphisms of distributive lattices

Ideals, congruences and annihilators on nearlattices

$𝒵$ -distributive function lattices

$W$ -isomorphisms of distributive lattices