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Transitive and Absorbent Filters of Implicative Almost Distributive Lattices

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In this paper, we introduce the concept of transitive and absorbent filters of implicative almost distributive lattices and studied their properties. A necessary and sufficient condition is derived for every… Click to show full abstract

In this paper, we introduce the concept of transitive and absorbent filters of implicative almost distributive lattices and studied their properties. A necessary and sufficient condition is derived for every filter to become a transitive filter. Some sufficient conditions are also derived for a filter to become a transitive filter. A set of equivalent conditions is obtained for a filter to become an absorbent filter.

Keywords: implicative almost; absorbent filters; transitive absorbent; distributive lattices; almost distributive; filters implicative

Journal Title: International Journal of Computing
Year Published: 2018

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