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Volume 37 • Number 3 • 2014
 
• Some Characterizations of 0-Distributive Semilattices
H. S. Chakraborty and M. R. Talukder

Abstract.
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.

2010 Mathematics Subject Classification: 06A12, 06A99, 06B10


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