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Tilahun Mekonnen Munie
Department of Mathematics College of Science Bahir Dar University
Computer Science & IT Education Mathematics

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

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (206.03 KB) | DOI: 10.12962/j24775401.v4i2.3597

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.
Implicative Almost Distributive Lattice Berhanu Assaye Alaba; Mihret Alamneh; tilahun mekonnen munie
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol 4, No 1 (2018)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (130.78 KB) | DOI: 10.12962/j24775401.v4i1.2999

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.
Co-Authors Berhanu Assaye Alaba Mihret Alamneh