ON AMPLY g-SUPPLEMENTED LATTICES

Nebiyev C., Ökten H. H.

Palestine Journal of Mathematics, cilt.11, sa.Special Issue 2, ss.37-40, 2022 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: Special Issue 2
  • Basım Tarihi: 2022
  • Dergi Adı: Palestine Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.37-40
  • Anahtar Kelimeler: Essential Elements, g-Supplemented Lattices, Lattices, Small Elements
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this work, all lattices are complete modular lattices with the greatest element 1 and the smallest element 0. Let L be a lattice and a ∈ L. If for every b ∈ L such that a ∨ b = 1, a has a g-supplement x in L such that x ≤ b, then we say a has ample g-supplements in L. If every element of L has ample g-supplements in L, then L is called an amply g-supplemented lattice (See [7]). In this work, some properties of these lattices are investigated.