On Prime Semilattices
Canadian mathematical bulletin, Tome 23 (1980) no. 3, pp. 291-298
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Several characterizations for prime semilattices are obtained. Prime semilattices that are compactly packed by filters have been characterized. Solution to the problem, “Find a condition on a semilattice by which every filter can be expressed as the intersection of all prime filters containing it”, is furnished.
Pawar, Y. S.; Thakare, N. K. On Prime Semilattices. Canadian mathematical bulletin, Tome 23 (1980) no. 3, pp. 291-298. doi: 10.4153/CMB-1980-040-1
@article{10_4153_CMB_1980_040_1,
author = {Pawar, Y. S. and Thakare, N. K.},
title = {On {Prime} {Semilattices}},
journal = {Canadian mathematical bulletin},
pages = {291--298},
year = {1980},
volume = {23},
number = {3},
doi = {10.4153/CMB-1980-040-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-040-1/}
}
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