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All Journal International Journal of Computing Science and Applied Mathematics-IJCSAM
Tilahun Mekonnen
Department of Mathematics, College of Science, Bahir Dar University
Mathematics

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Transitive and Absorbent Filters of Implicative Almost Distributive Lattices Berhanu Assaye Alaba; Mihret Alamneh; Tilahun Mekonnen
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 4 No. 2 (2018)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

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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.
Co-Authors Berhanu Assaye Alaba Mihret Alamneh