ESSENTIAL SUPPLEMENTED LATTICES


Okten H. H. , PEKİN A.

MISKOLC MATHEMATICAL NOTES, cilt.21, sa.2, ss.1013-1018, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Konu: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.18514/mmn.2020.3246
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Sayfa Sayıları: ss.1013-1018

Özet

Let L be a complete modular lattice. If every essential element of L has a supplement in L, then L is called an essential supplemented (or briefly e-supplemented) lattice. In this work some properties of these lattices are investigated. Let L be a complete modular lattice and 1 = a(1)Va(2)V...Va(n) with a(i) is an element of L(1 <= i <= n). If ai/0 is e-supplemented for every i = 1,2, ..., n, then L is also e-supplemented. If L is e-supplemented, then 1/a is also e-supplemented for every a is an element of L.