Autometrized Implicative Almost Distributive Lattices


Abstract views: 11 / PDF downloads: 8

Authors

  • Berhanu Assaye Department of Mathematics, College of science, Bahir Dar University, Bahir Dar, Ethiopia
  • Mihret Alamneh Department of Mathematics, College of science, Bahir Dar University, Bahir Dar, Ethiopia
  • Tilahun Mekonnen Department of Mathematics, College of science, Bahir Dar University, Bahir Dar, Ethiopia

Keywords:

Almost Distributive Lattice, Implicative Algebras, Implicative Almost Distributive lattice, Autometrized Algebra, Regular Autometrized Algebra, Autometrized Implicative Almost Distributive and Regular Autometrized Implicative Almost Distributive Lattice

Abstract

In this paper,we introduce two binary operations + and $-$ on an IADL and we obtain few results concerning the operation defined.We introduce a binary operation * on IADL L and prove that (L, *) is a metric space. We introduce the concept of Autometrized Implicative Almost Distributive Lattices(AIADLs)as extension of Autometrized algebra in the class of Almost Distributive Lattices and also regular autometrized IADL. We discuss some theorems of AIADL L and show that * on L is not a group operation.

Downloads

Published

30-12-2017

How to Cite

Berhanu Assaye, Mihret Alamneh, & Tilahun Mekonnen. (2017). Autometrized Implicative Almost Distributive Lattices. International Journal of Mathematics And Its Applications, 5(4 - F), 963–970. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1360

Issue

Vol. 5 No. 4 - F (2017)

Section

Research Article

License

Copyright (c) 2023 International Journal of Mathematics And its Applications

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.