Congruence kernels of distributive PJP-semilattices

S. N. Begum; Abu Saleh Abdun Noor

Displaying similar documents to “Congruence kernels of distributive PJP-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...

Permutability of distributive congruence relations in a joint semilattice directed below

P.V. Ramana Murty, V. Raman (1985)

Mathematica Slovaca

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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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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.