残格中的模糊素数理想定理

Int. J. Math. Math. Sci. Pub Date : 2021-06-14 DOI:10.1155/2021/5569981

Pierre Carole Kengne, B. B. K. Njionou, C. Lélé

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引用次数: 1

摘要

本文主要讨论了残格的模糊素理想定理的建立。首先，我们引入了由残格的模糊子集生成的模糊理想的概念，并给出了一个表征。同时，引入了不同类型的模糊素理想，并建立了它们之间的存在关系。证明了任何模糊极大理想都是残馀格中的模糊素理想。最后给出并证明了残格中的模糊素数理想定理。

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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Fuzzy Prime Ideal Theorem in Residuated Lattices

This paper mainly focuses on building the fuzzy prime ideal theorem of residuated lattices. Firstly, we introduce the notion of fuzzy ideal generated by a fuzzy subset of a residuated lattice and we give a characterization. Also, we introduce different types of fuzzy prime ideals and establish existing relationships between them. We prove that any fuzzy maximal ideal is a fuzzy prime ideal in residuated lattice. Finally, we give and prove the fuzzy prime ideal theorem in residuated lattice.

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Int. J. Math. Math. Sci.

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