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

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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… Click to show full 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.

Keywords: distributive lattices; sub almost; almost distributive; class sub; class; distributive lattice

Journal Title: Asian-European Journal of Mathematics
Year Published: 2019

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