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

共 50 条

[11] Congruences and Quotient Algebras of BCI-algebras
Ding, Yuzhong
Pang, Zhiyong
[J]. FORMALIZED MATHEMATICS, 2007, 15 (04): : 175 - 180
[12] BCI-implicative ideals of BCI-algebras
Liu, Yong Lin
Xu, Yang
Meng, Jie
[J]. INFORMATION SCIENCES, 2007, 177 (22) : 4987 - 4996
[13] Interior BCK/BCI-Algebras
Ahn, Sun Shin
Bordbar, Hashem
Jun, Young Bae
[J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS, 2021, 14 (01) : 1923 - 1933
[14] Fuzzy ideals in BCI-algebras
Liu, YL
Meng, J
[J]. FUZZY SETS AND SYSTEMS, 2001, 123 (02) : 227 - 237
[15] Ideals of BCI-algebras and their Properties
Wu, Chenglong
Ding, Yuzhong
[J]. FORMALIZED MATHEMATICS, 2008, 16 (02): : 109 - 114
[16] Soft BCK/BCI-algebras
Jun, Young Bae
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (05) : 1408 - 1413
[17] On Vague BCK/BCI-algebras
Saeid, Arsham Borumand
[J]. 2009 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-3, 2009, : 1669 - 1671
[18] On derivation of pseudo BCI-algebras
Uzay, Didem Surgevil
Firat, Alev
[J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2019, 12 (06)
[19] PROPERTY OF FINITE BCI-ALGEBRAS
Habil, Ahmad
[J]. JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2010, 19 (01): : 121 - 127
[20] On Annihilator in Pseudo BCI-algebras
Banderi, Ali
Harizavi, Habib
[J]. SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2021, 45 (03) : 301 - 315

← 1 2 3 4 5 →