Geodesic
Congruence kernels of distributive PJP-semilattices
Mathematica Bohemica, Tome 136 (2011) no. 3, pp. 225-239
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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.
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.
DOI : 10.21136/MB.2011.141645
Classification : 06A12, 06B10, 06B99, 06D15
Keywords: semilattice; distributivity; pseudocomplementation; congruence; kernel ideal; cokernel 
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Begum, S. N.; Noor, A. S. A. Congruence kernels of distributive PJP-semilattices. Mathematica Bohemica, Tome 136 (2011) no. 3, pp. 225-239. doi: 10.21136/MB.2011.141645

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