A note on distributivity of the lattice of $L$-ideals of a ring

Yıl 2019, Cilt: 48 Sayı: 1, 180 - 185, 01.02.2019

Dilek Bayrak Sultan Yamak

Öz

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 $L$.

Anahtar Kelimeler

lattice, distributive lattice, fuzzy ideal

Kaynakça

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