Some remarks on certain classes of semilattices.
Murty, P.V.Ramana, Murty, M.Krishna (1982)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Triple construction of semilattices with admitting neutral -closure operators”
Some remarks on certain classes of semilattices.
Subdirectly irreducible sectionally pseudocomplemented semilattices
Radomír Halaš, Jan Kühr (2007)
Czechoslovak Mathematical Journal
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Sectionally pseudocomplemented semilattices are an extension of relatively pseudocomplemented semilattices—they are meet-semilattices with a greatest element such that every section, i.e., every principal filter, is a pseudocomplemented semilattice. In the paper, we give a simple equational characterization of sectionally pseudocomplemented semilattices and then investigate mainly their congruence kernels which leads to a characterization of subdirectly irreducible sectionally pseudocomplemented...
On -modular and -distributive semilattices
Jiří Rachůnek (1992)
Mathematica Slovaca
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Relative annihilator-preserving congruence relations and relative annihilator-preserving homomorphisms in bounded distributive semilattices
Sergio A. Celani (2015)
Open Mathematics
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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.