期刊论文详细信息
Demonstratio mathematica | |
Fuzzy ideals of pseudo-BCK Algebras | |
article | |
Grzegorz Dymek1  Andrzej Walendziak2  | |
[1] Faculty of Mathematics and Natural Sciences, The John Paul II Catholic University of Lublin;Institute of Mathematics and Physics, Siedlce University | |
关键词: pseudo-BCK algebra; fuzzy ideal; Noetherian (Artinian) pseudo-BCK algebra; | |
DOI : 10.1515/dema-2013-0346 | |
学科分类:外科医学 | |
来源: De Gruyter | |
【 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 μ , the least fuzzy ideal containing μ 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.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO202107200001267ZK.pdf | 167KB | download |