A note on distributivity of the lattice of L-ideals of a ring
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.48, no.1, pp.180-185, 2019 (SCI-Expanded, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 48 Issue: 1
- Publication Date: 2019
- Doi Number: 10.15672/hjms.2017.520
- Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.180-185
- Karadeniz Technical University Affiliated: Yes
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 V-distributive lattice L.