Begum, S. N.; Noor, A. S. A. Congruence kernels of distributive PJP-semilattices. (English) Zbl 1249.06004 Math. Bohem. 136, No. 3, 225-239 (2011). Summary: 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. Cited in 1 ReviewCited in 3 Documents MSC: 06A12 Semilattices Keywords:semilattice; distributivity; pseudocomplementation; congruence; kernel ideal; cokernel PDF BibTeX XML Cite \textit{S. N. Begum} and \textit{A. S. A. Noor}, Math. Bohem. 136, No. 3, 225--239 (2011; Zbl 1249.06004) Full Text: EuDML