Permutability of distributive congruence relations in a joint semilattice directed below
P.V. Ramana Murty, V. Raman (1985)
Mathematica Slovaca
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P.V. Ramana Murty, V. Raman (1985)
Mathematica Slovaca
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Isidore Fleischer (1982)
Czechoslovak Mathematical Journal
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Beazer, R. (1994)
Acta Mathematica Universitatis Comenianae. New Series
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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.