Transitive and Absorbent Filters of Implicative Almost Distributive Lattices
Keywords:
Implicative almost distributive lattices, transitive filters, absorbent filtersAbstract
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.
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