Permutability of distributive congruence relations in a joint semilattice directed below

P.V. Ramana Murty; V. Raman

Displaying similar documents to “Permutability of distributive congruence relations in a joint semilattice directed below”

Ideals, congruences and annihilators on nearlattices

Ivan Chajda, Miroslav Kolařík (2007)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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By a nearlattice is meant a join-semilattice having the property that every principal filter is a lattice with respect to the semilattice order. We introduce the concept of (relative) annihilator of a nearlattice and characterize some properties like distributivity, modularity or $0$ -distributivity of nearlattices by means of certain properties of annihilators.

Congruence extension from a semilattice to the freely generated distributive lattice

Isidore Fleischer (1982)

Czechoslovak Mathematical Journal

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Congruence kernels of distributive PJP-semilattices

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.