2019•Asian-European Journal of MathematicsRequires access
A class of sub-almost distributive lattices in an associate almost distributive lattice through a filter
S. Ramesh, Jogarao Gunda
Open publisher page 0 citations
Abstract
In this paper, we introduce a class of sub-almost distributive lattices in an associate almost distributive lattice through a filter. We obtain several algebraic properties on the class of sub-almost distributive lattices and prove that the above class forms a distributive lattice. We derive a necessary and sufficient condition that the class to become a Boolean algebra.