Geodesic
0-Distributive and P-Uniform Semilattices
Canadian mathematical bulletin, Tome 25 (1982) no. 3, pp. 317-324

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DOI

A counter-example is provided to the conjecture of Y. S. Pawar and N. K. Thakare that a semilattice S with 0 is 0-distributive if and only if for each filter F and each ideal I such that F ∩ I = Ø, there exists a prime filter containing F and disjoint from I. This shows that 0-distributivity is not equivalent to weak distributivity. A characterization is also given of finite P-uniform semilattices in terms of 0-distributivity.
DOI : 10.4153/CMB-1982-044-1
Mots-clés : 06A12, 06D15 
Hoo, C. S.; Shum, K. P. 0-Distributive and P-Uniform Semilattices. Canadian mathematical bulletin, Tome 25 (1982) no. 3, pp. 317-324. doi: 10.4153/CMB-1982-044-1
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     title = {0-Distributive and {P-Uniform} {Semilattices}},
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     year = {1982},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-044-1/}
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