CENTRALIZERS OF BCI-ALGEBRAS

被引：2

作者：

Najafi, A. ^{[1
]}

Saeid, A. Borumand ^{[2
]}

Eslami, E. ^{[2
]}

机构：

[1] Islamic Azad Univ, Dept Math, Behbahan Branch, Behbahan, Iran

[2] Shahid Bahonar Univ Kerman, Dept Pure Math, Fac Math & Comp, Pajoohesh Sq,Imam Khomeni Highway, Kerman 7616913439, Iran

来源：

MISKOLC MATHEMATICAL NOTES | 2021年 / 22卷 / 01期

关键词：

BCI-algebras; centralizer; (pseudo) center; C-closed subalgebras; central (derived) ideal; IDEALS;

D O I：

10.18514/MMN.2021.2632

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：407 / 425

页数：19

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