有界可交换剩余格中的n-叠奇异理想和n-叠对合理想

Q4 Mathematics

Discussiones Mathematicae - General Algebra and Applications Pub Date : 2022-10-01 DOI:10.7151/dmgaa.1396

Fabrice Tchoua Yinga, B. B. Koguep Njionou, Etienne R. Temgoua Alomo

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引用次数: 0

摘要

摘要本文引入了剩余格中的n次顽固理想、n次正规理想、n次奇异理想和n次对合理想的概念，并给出了它们的一些性质，并给出了证明。给出了这些概念的几个特征，并研究了这些概念之间的关系。同时，我们构造了n重理想和n重滤波在剩余格中的对应关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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n-Fold Fantastic and n-Fold Involutive Ideals in Bounded Commutative Residuated Lattices

Abstract In this paper, we introduce the concepts of n-fold obstinate ideals, n-fold normal ideals, n-fold fantastic ideals and n-fold involutive ideals in residuated lattices, state and prove some of their properties. Several characterizations of these notions are derived and the relations between those notions are investigated. Also, we construct the correspondence between the notions of n-fold ideal and n-fold filter in residuated lattices.

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来源期刊

Discussiones Mathematicae - General Algebra and Applications Mathematics-Algebra and Number Theory

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

26 weeks