A Generalization of Semidetached Subalgebras in BCK/BCI-algebras

被引：2

作者：

Bordbar, Hashem ^{[1
]}

Bordbar, Mohammad Rahim ^{[2
]}

Jun, Young Bae ^{[3
]}

机构：

[1] Univ Nova Gorica, Ctr Informat Technol & Appl Math, Nova Gorica, Slovenia

[2] Univ Qom, Dept Phys, Qom, Iran

[3] Gyeongsang Natl Univ, Dept Math Educ, Jinju 52828, South Korea

来源：

NEW MATHEMATICS AND NATURAL COMPUTATION | 2019年 / 15卷 / 03期

基金：

美国国家科学基金会;

关键词：

((is an element of)over-bar; (is an element of)over-bar boolean OR (q(kappa))over-bar-fuzzy subalgebra; kappa-left (kappa-right) (q(kappa); is an element of boolean OR q(kappa))-fuzzy subalgebra; ((subset of)over-bar; (q(kappa))over-bar; (subset of)over-bar boolean OR (q(kappa))over-bar-fuzzy subalgebra; semidetached structure; semidetached subalgebra; IDEALS; ELEMENT;

D O I：

10.1142/S1793005719500285

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Generalization of the paper [Y. B. Jun and S. Z. Song, Semidetached subalgebras in BCK/BCI-algebras, to appear in Bulletin of the Korean Mathematical Society] is discussed. Several conditions for a semidetached structure in BCK/BCI-algebras to be a semidetached subalgebra are provided. The concepts of ((is an element of) over bar, (is an element of) over bar boolean OR (q(kappa)) over bar -fuzzy subalgebra, kappa-left q(kappa),is an element of boolean OR q(kappa))-fuzzy subalgebra and ((is an element of) over bar boolean OR (q(kappa)) over bar, (is an element of) over bar boolean OR (q(kappa)) over bar)-fuzzy subalgebra are introduced, and relative relations and properties are discussed.

引用

页码：489 / 501

页数：13

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