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Keywords:
semilattice; distributivity; pseudocomplementation; congruence; kernel ideal; cokernel
semilattice; distributivity; pseudocomplementation; congruence; kernel ideal; cokernel
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.
References:
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