Characterizations of the $0$-distributive semilattice
P. Balasubramani · Mathematica Bohemica · 2003
The $0$-distributive semilattice is characterized in terms of semiideals, ideals and filters. Some sufficient conditions and some necessary conditions for $0$-distributivity are obtained. Counterexamples are given to prove that certain conditions are not necessary and certain conditions are not sufficient.