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Ramsey-type theorems

Gavalec, Martin, Vojtáš, Peter (1980)

Abstracta. 8th Winter School on Abstract Analysis

Relative annihilator-preserving congruence relations and relative annihilator-preserving homomorphisms in bounded distributive semilattices

Sergio A. Celani (2015)

Open Mathematics

In this paper we shall study a notion of relative annihilator-preserving congruence relation and relative annihilator-preserving homomorphism in the class of bounded distributive semilattices. We shall give a topological characterization of this class of semilattice homomorphisms. We shall prove that the semilattice congruences that are associated with filters are exactly the relative annihilator-preserving congruence relations.

Relative polars in ordered sets

Radomír Halaš (2000)

Czechoslovak Mathematical Journal

In the paper, the notion of relative polarity in ordered sets is introduced and the lattices of R -polars are studied. Connections between R -polars and prime ideals, especially in distributive sets, are found.

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