A class of sub-almost distributive lattices in an associate almost distributive lattice through a filter

Ramesh Sirisetti, Jogarao Gunda · Asian-European Journal of Mathematics · 2019

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.

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