FUZZY IDEALS OF PSEUDO-BCK ALGEBRAS

被引：0
|
作者：
Dymek, Grzegorz [1 ]
Walendziak, Andrzej [2 ]
机构：
[1] John Paul II Catholic Univ Lublin, Fac Math & Nat Sci, Konstantynow 1H, PL-20708 Lublin, Poland
[2] Siedlce Univ, Inst Math & Phys, PL-08110 Siedlce, Poland
来源：
DEMONSTRATIO MATHEMATICA | 2012年 / 45卷 / 01期
关键词：
pseudo-BCK algebra; fuzzy ideal; Noetherian (Artinian) pseudo-BCK algebra;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Characterizations of fuzzy ideals of a pseudo-BCK algebra are established. Conditions for a fuzzy set to be a fuzzy ideal are given. Given a fuzzy set mu, the least fuzzy ideal containing mu is constructed. The homomorphic properties of fuzzy ideals of a pseudo-BCK algebra are provided. Finally, characterizations of Noetherian pseudo-BCK algebras and Artinian pseudo-BCK algebras in terms of fuzzy ideals are given.
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页码：1 / 15
页数：15
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