COFINITELY WEAK SUPPLEMENTED LATTICES

Alizade R., Toksoy S. E.

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, cilt.40, sa.5, ss.337-346, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 5
  • Basım Tarihi: 2009
  • Dergi Adı: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.337-346
  • Anahtar Kelimeler: Cofinite element, weak supplement, weakly supplemented lattice, cofinitely weak supplemented lattice, MODULES
  • Hacettepe Üniversitesi Adresli: Hayır

Özet

In this paper it is shown that an E-complemented complete modular lattice L with small radical is weakly supplemented if and only if it is semilocal. L is a cofinitely weak supplemented lattice if and only if every maximal element of L has a weak supplement in L. If a/0 is a cofinitely weak supplemented (weakly supplemented) sublattice and 1/a has no maximal element (1/a is weakly supplemented and a has a weak supplement in L), then L is cofinitely weak supplemented (weakly supplemented).