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On intuitionistic L-fuzzy prime submodules
P. K. Sharma,Kanchan 원광대학교 기초자연과학연구소 2018 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.16 No.1
In this paper the concept of an intuitionistic $L$-fuzzy prime submodule of $M$ is given, and some fundamental lemmas are proved. Also a characterization of an intuitionistic $L$-fuzzy prime submodule is given. Finally, we show that an intuitionistic $L$-fuzzy prime submodule is inherited by an $R$-module epimorphism.
On the topological structure of spectrum of intuitionistic L-fuzzy prime submodules
P. K. Sharma,Kanchan 원광대학교 기초자연과학연구소 2021 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.21 No.2
Let $R$ be a commutative ring with identity and let $M$ be an $R$-module. We topologize $IF_{L}Spec(M)$, the collection of all intuitionistic $L$-fuzzy prime submodules of $M$, analogous to that for $IFSpec(R)$, the spectrum of intuitionistic fuzzy prime ideals of $R$, and investigate the properties of this topological space. In particular, we will study the relationship between $IF_{L}Spec(M)$ and $IF_{L}Spec(R/Ann(M))$ and obtain some results. Also, we investigate the irreducible elements in this space.