COFINITELY WEAK SUPPLEMENTED LATTICES
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, cilt.40, sa.5, ss.337-346, 2009 (SCI-Expanded, Scopus)
- 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).