COFINITELY WEAK SUPPLEMENTED LATTICES


Alizade R., Toksoy S. E.

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, cilt.40, ss.337-346, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 40 Konu: 5
  • Basım Tarihi: 2009
  • Dergi Adı: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
  • Sayfa Sayıları: ss.337-346

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).