Fuzzy Prime Ideal Theorem in Residuated Lattices

Pierre Carole Kengne, Blaise Blériot Koguep, Celestin Lele and Marianna A. Shubov

International Journal of Mathematics and Mathematical Sciences, 2021, vol. 2021, 1-8

Abstract: 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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:5569981

DOI: 10.1155/2021/5569981

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