Normal Filters in Almost Distributive Lattices
Ramesh Sirisetti, G. Jogarao · Philologist – Journal Of Langugage, Literary And Cultural Studies (University of Banja Luka) · 2017
In this paper we introduce normal filters and normlets in an almost distributive lattice with dense elements and reinforce them in both algebraical and topological aspects.2010 Mathematics Subject Classification.Primary 06D99; Secondary 06D15.Key words and phrases.Normal filter, dense element, weak relatively complemented almost distributive lattice and the Hull-kernel topology.Therefore (a ∨ x) * ⊆ (a ∨ b) * and hence (a ∨ x) * = (a ∨ b) * .Thus L is a weak relatively complemented.