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

BAYRAK D., YAMAK S.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.48, sa.1, ss.180-185, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 48 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.15672/hjms.2017.520
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.180-185
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

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.