• G Nanaji Rao
• Ch swapna

The concept of 0-distributive almost semilattice is introduced and proved some basic properties of 0-distributive almost semilattice. A set of equivalent conditions for an almost semilattice (ASL) with 0 to become 0-distributive ASL is established. Also, obtained another set of equivalent condition for an ASL with in which intersection of any family of S-ideals of is again an S-ideal to become 0-distributive ASL. We gave a necessary and sufficient conditions for a proper filter of an ASL to become a maximal filter and proved that every maximal filter in 0-distributive ASL is a prime filter. Also, we proved that if is 0-distributive ASL with unimaximal element, in which intersection of any family of S-ideals is again an S-ideal, then for any filter of and for any annihilator ideal of such that , there exists a prime filter of containing and disjoint with Finally, we introduced the concepts of disjunctive ASL, weakly disjunctive ASL and we gave necessary and sufficient conditions for a 0-distributive ASL to become disjunctive (weakly disjunctive) ASL.

0-distributive ASL, maximal filter, prime filter, disjunctive ASL, weakly disjunctive ASL

"0-Distributive Almost Semilattices", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 1, page no.525-536, January-2019, Available :http://www.jetir.org/papers/JETIR1901A66.pdf

"0-Distributive Almost Semilattices", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 1, page no. pp525-536, January-2019, Available at : http://www.jetir.org/papers/JETIR1901A66.pdf