International Journal of Computing Science and Applied Mathematics
Vol 4, No 2 (2018)

Transitive and Absorbent Filters of Implicative Almost Distributive Lattices

Berhanu Assaye Alaba (Department of Mathematics College of Science Bahir Dar University)
Mihret Alamneh (Department of Mathematics College of Science Bahir Dar University)
Tilahun Mekonnen Munie (Department of Mathematics College of Science Bahir Dar University)

Article Info

Publish Date
17 Aug 2018

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.

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Journal Info
International Journal of Computing Science and Applied Mathematics
Website

Abbrev

ijcsam

Publisher

Institut Teknologi Sepuluh Nopember Surabaya

Subject

Computer Science & IT Education Mathematics

Description

(IJCSAM) International Journal of Computing Science and Applied Mathematics is an open access journal publishing advanced results in the fields of computations, science and applied mathematics, as mentioned explicitly in the scope of the journal. The journal is geared towards dissemination of ...