Fuzzy ideals of pseudo-BCK Algebras

Grzegorz Dymek; Andrzej Walendziak

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Fuzzy ideals of pseudo-BCK Algebras

机译：Fuzzy ideals of pseudo-BCK Algebras

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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.

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来源
《Demonstratio Mathematica》 |2013年第1期|1-15|共15页
作者
Grzegorz Dymek; Andrzej Walendziak;
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作者单位

Faculty of Mathematics and Natural Sciences, The John Paul II Catholic University of Lublin;

Institute of Mathematics and Physics, Siedlce University;

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正文语种英语
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关键词
pseudo-BCK algebra; fuzzy ideal; Noetherian (Artinian) pseudo-BCK algebra;

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Fuzzy ideals of pseudo-BCK Algebras

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