circle plus-SUPPLEMENTED LATTICES

Bicer C., Nebiyev C.

MISKOLC MATHEMATICAL NOTES, cilt.20, sa.2, ss.773-780, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 2
  • Basım Tarihi: 2019
  • Doi Numarası: 10.18514/mmn.2019.2806
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.773-780
  • Anahtar Kelimeler: lattices, small elements, supplemented lattices, complemented lattices
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this work, circle plus-supplemented and strongly circle plus-supplemented lattices are defined and investigated some properties of these lattices. Let L be a lattice and 1 = a(1) circle plus a(2) circle plus ... circle plus a(n) with a(1), a(2), ..., a(n) is an element of L. If a(i)/0 is circle plus-supplemented for each i = 1, 2, ..., n, then L is also circle plus-supplemented. Let L be a distributive lattice and 1 = a(1) circle plus a(2) circle plus ... circle plus a(n) with a(1), a(2), ..., a(n) is an element of L. If a(i)/0 is strongly circle plus-supplemented for each i = 1, 2, ..., n, then L is also strongly circle plus-supplemented. A lattice L has (D1) property if and only if L is amply supplemented and strongly circle plus-supplemented.