CONSTRUCTING SYMMETRIC EQUALITY ALGEBRAS

被引：0

作者：

Borzooei, Rajab ali ^{[1
]}

Kologani, Mona aaly ^{[2
]}

Hashemi, Mohammad ali ^{[3
]}

Mohammadzadeh, Elahe ^{[3
]}

机构：

[1] Shahid Beheshti Univ, Fac Math Sci, Dept Math, Tehran, Iran

[2] Hatef Higher Educ Inst, Zahedan, Iran

[3] Payame Noor Univ, Dept Math, Tehran, Iran

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2025年 / 49卷 / 02期

基金：

中国国家自然科学基金;

关键词：

(Hyper) Equality algebra; symmetric equality algebra; strong fuzzy filter; congruence relation; FILTERS;

D O I：

10.46793/KgJMat2502.203B

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce the notion of strong fuzzy filter on hyper equality algebras and investigate some equivalence definitions of it. Then by using this notion we constructed a symmetric equality algebra and define a special form of classes. By using these, we define the concept of a fuzzy hyper congruence relation on hyper equality algebra and we prove that the quotient is made by it is an equality algebra. Also, by using a fuzzy equivalence relation on hyper equality, we introduce a fuzzy hyper congruence relation and prove that this fuzzy hyper congruence is regular and finally we prove that the quotient structure that is made by it is a symmetric hyper equality algebra.

引用

页码：203 / 221

页数：19

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