Fuzzy filters of pseudo-BE algebras

被引：1
|
作者：
Walendziak, Andrzej [1 ]
Rezaei, Akbar [2 ]
机构：
[1] Siedlce Univ, Inst Math & Phys, 3 Maja 54, PL-08110 Siedlce, Poland
[2] Payame Noor Univ, Dept Math, POB 19395-3697, Tehran, Iran
来源：
AFRIKA MATEMATIKA | 2020年 / 31卷 / 5-6期
关键词：
(Noetherian) pseudo-BE algebra; Filter; Fuzzy (commutative) filter; Homomorphism; COMMUTATIVE DEDUCTIVE SYSTEMS; IDEALS;
D O I：
10.1007/s13370-019-00756-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The theory of fuzzy filters in pseudo-BE algebras is developed. Various characterizations of fuzzy filters are given. It is proved that the set of all fuzzy filters of a pseudo-BE algebra is a complete lattice. Some characterizations of Noetherian pseudo-BE algebras by fuzzy filters are obtained. Finally, fuzzy commutative filters are defined and studied. Moreover, the homomorphic properties of fuzzy (commutative) filters are provided.
引用
收藏
页码：739 / 750
页数：12
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