ON AMPLY g-SUPPLEMENTED LATTICES
Palestine Journal of Mathematics, cilt.11, sa.Special Issue 2, ss.37-40, 2022 (Scopus)
- 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.