Kernel ideals of a Stone JP-semilattice |
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| Authors: | S. N. Begum A. S. A. Noor M. R. Talukder |
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| Affiliation: | 1. Department of Mathematics, ShahJalal University of Science and Technology, Sylhet, 3114, Bangladesh
2. Department of Electronics and Communication Engineering, East West University, Dhaka, 1212, Bangladesh
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| Abstract: | A meet semilattice with a partial join operation satisfying some axioms is a JP-semilattice. A PJP-semilattice is a pseudocomplemented JP-semilattice. We characterize Stone JP-semilattices, give some characterizations of kernel ideals of a Stone JP-semilattice, and describe the join of two kernel ideals of a Stone JP-semilattice. |
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