Pseudo-valuations on commutative BE-algebras

Authors

  • J. Golzarpoor University of Zabol, Zabol, Iran
  • M. Mehrpooya Kosar University of Bojnord, Bojnord, Iran
  • S. Mehrshad University of Zabol, Zabol, Iran

DOI:

https://doi.org/10.31926/but.mif.2021.1.63.1.10

Keywords:

BE-algebra, valuation, pseudo-valuation, filter

Abstract

In this paper, we study pseudo-valuations on commutative BE-algebras and obtain some related results. Using the pseudo-metrics induced by pseudo valuations we introduce a congruence relation on BE-algebras.

Author Biographies

J. Golzarpoor, University of Zabol, Zabol, Iran

Faculty of Science

M. Mehrpooya, Kosar University of Bojnord, Bojnord, Iran

Faculty of Science

S. Mehrshad, University of Zabol, Zabol, Iran

Faculty of Science

Downloads

Published

2021-07-08

Issue

Vol. 1(63) No. 1 (2021)

Section

MATHEMATICS