International Journal of Mathematics and Mathematical Sciences

Volume 28 (2001), Issue 9, Pages 535-543

doi:10.1155/S0161171201010985

## Relationship between ideals of BCI-algebras and order ideals of its adjoint semigroup

# Michiro Kondo

Department of Mathematics and Computer Science, Shimane University, Matsue 690-8504, Japan

Received 4 October 2000; Revised 6 February 2001

Copyright © 2001 Michiro Kondo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

#### Abstract

We consider the relationship between ideals of a BCI-algebra and
order ideals of its adjoint semigroup. We show that (1) if