Abstract
Varlet characterized the concept of 0-distributive lattices to generalize the notion of pseudo complemented lattices. Powar and Thakare introduced the notion of 0- Distributive semilattices. Very few authors have studied join semilattices. Among them Nimbhorkar and Rahemani, Akhter and Noor and Rao and Kumar have introduced the join semilattices. In this paper, we have introduced the notion of join semilattices with 0 - distributive directed below. A join semilattice S is called directed below if for any a,b ∈ S there is d ≤ a , b such that d ∈ S . Then obviously, every join semilattice with 0 is directed below
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