MMN-2632
Centralizers of BCI-algebras
A. Najafi; A. Borumand Saeid; E. Eslami;Abstract
In this paper, the concept of the centralizer of a subset (an element) of a BCI-algebra by using commutators is given. The connection between commutative ideals with commutators are considered. Also the pseudo center of a BCI-algebra is defined and the relationships between center and pseudo center in BCI-algebras are
discussed. Following the concept of the centralizer, we introduce C-closed subalgebras of a BCI-algebra and discuss some characteristics of these subalgebras. Finally, we define central ideal and derived ideal of a BCI-algebra and the relationship between central ideal, derived ideal
and other ideals of BCI-algebras are investigated.
Vol. 22 (2021), No. 1, pp. 407-425