Implicative Almost Distributive Lattice

Berhanu Assaye Alaba, Mihret Alamneh, tilahun mekonnen munie


In this paper, we introduce the concept of Implicative Almost Distributive Lattices (IADLs) as a generalization of implicative algebra in the class of Almost Distributive Lattices. We discuss some properties of IADL and derive some equivalent conditions in IADLs. We also discuss some characterizations of IADL to become an implicative algebra.


Almost Distributive Lattice; Implicative Algebras; Implicative Almost Distributive lattice

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