Implicative Almost Distributive Lattice

Berhanu Assaye Alaba, Mihret Alamneh, tilahun mekonnen munie

Abstract


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.

Keywords


Almost Distributive Lattice; Implicative Algebras; Implicative Almost Distributive lattice

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References


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DOI: http://dx.doi.org/10.12962/j24775401.v4i1.2999

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International Journal of Computing Science and Applied Mathematics by Department Mathematics ITS is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Based on a work at http://iptek.its.ac.id/index.php/ijcsam.