On Prime Ideal and m -system in Lattices

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原文链接

NSTL

外文摘要：In this paper, we have obtained the relation between fuzzy prime ideal and prime fuzzy ideal of a lattice L. We have obtained a new characterization for an ideal to be a fuzzy prime ideal. We have shown that every prime fuzzy ideal is a fuzzy prime ideal but the converse need not to be true. Also, we introduce the notion of m -system and fuzzy m -system of lattice L. We have shown that if λ is a fuzzy ideal and γ is a fuzzy m -system of a lattice L such that λ∩γ=0, then there is a fuzzy prime ideal μ with λ≤μ and μ∩γ=0.

外文关键词：

LatticesIdealsPrime idealsFuzzy sublattice and Fuzzy ideal

作者：

P. Nandakumar、B. Sambathkumar、P. Dheena

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作者单位：

Department of Mathematics, Perunthalaivar Kamarajar Institute of Engineering and Technology, Karaikal-609603, India

Department of Mathematics, Rajiv Gandhi College of Engineering and Technology, Puducherry-607 403, India

Department of Mathematics Annamalai University, Annamalainagar - 608002, India

出版年：

2020

The Journal of fuzzy mathematics

ISSN：1066-8950

年,卷(期)：2020.28(3)