- Hacettepe Journal of Mathematics and Statistics
- Volume:48 Issue:1
- A note on distributivity of the lattice of $L$-ideals of a ring
A note on distributivity of the lattice of $L$-ideals of a ring
Authors : Dilek BAYRAK, Sultan YAMAK
Pages : 180-185
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Publication Date : 2019-02-01
Article Type : Research Paper
Abstract :Many studies have investigated the lattice of fuzzy substructures of algebraic structures such as groups and rings. In this study, we prove that the lattice of $L$-ideals of a ring is distributive if and only if the lattice of its ideals is distributive, for an infinitely $\vee$-distributive lattice $L$.Keywords : lattice, distributive lattice, fuzzy ideal