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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Murty, P.V.Ramana, Murty, M.Krishna (1982)
International Journal of Mathematics and Mathematical Sciences
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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.
S. N. Begum, Abu Saleh Abdun Noor (2011)
Mathematica Bohemica
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A meet semilattice with a partial join operation satisfying certain axioms is a JP-semilattice. A PJP-semilattice is a pseudocomplemented JP-semilattice. In this paper we describe the smallest PJP-congruence containing a kernel ideal as a class. Also we describe the largest PJP-congruence containing a filter as a class. Then we give several characterizations of congruence kernels and cokernels for distributive PJP-semilattices.
P.V. Ramana Murty, V. Raman (1982)
Mathematica Slovaca
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