Some Characterizations of 0-Distributive Semilattices
Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 4
Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website
In this paper we discuss prime down-sets of a semilattice. We give a characterization of prime down-sets of a semilattice. We also give some characterizations of $0$-distributive semilattices and a characterization of minimal prime ideals containing an ideal of a $0$-distributive semilattice. Finally, we give a characterization of minimal prime ideals of a pseudocomplemented semilattice.
Classification :
06A12, 06A99, 06B10
@article{BMMS_2014_37_4_a15,
author = {H. S. Chakraborty and M. R. Talukder},
title = {Some {Characterizations} of {0-Distributive} {Semilattices}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2014},
volume = {37},
number = {4},
url = {http://geodesic.mathdoc.fr/item/BMMS_2014_37_4_a15/}
}
H. S. Chakraborty; M. R. Talukder. Some Characterizations of 0-Distributive Semilattices. Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 4. http://geodesic.mathdoc.fr/item/BMMS_2014_37_4_a15/