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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 1

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

Dilek BAYRAK
Sultan YAMAK
Sayfa
180–185
Yayın Tarihi
2022-10-18
DOI
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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 ∨distributive lattice L.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Many studies have investigated the lattice of fuzzy substructures of algebraic structures such as groups and rings.
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Temel Bulgular & Veri:Many studies have investigated the lattice of fuzzy substructures of algebraic structures such as groups and rings.
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Sonuç & Katkı: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 ∨distributive lattice L.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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 ∨distributive lattice L.

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Bu Makaleye Atıf Yap

BAYRAK, D., YAMAK, S. (2022). A note on distributivity of the lattice of L-ideals of a ring. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 1, 180–185. https://ajindex.com/articles/529777

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Kaynakça (15)

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