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Publisher: search.filters.publisher.Indian National Science AcademySubject: search.filters.subject.Cofinite element

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  • Article
    Citation - WoS: 14
    Citation - Scopus: 14
    Cofinitely Weak Supplemented Lattices
    (Indian National Science Academy, 2009) Alizade, Rafail; Toksoy, Sultan Eylem
    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 )α/0 is a cofinitely weak supplemented (weakly supplemented) sublattice and 1/α has no maximal element (1/α is weakly supplemented and a has a weak supplement in L), then L is cofinitely weak supplemented (weakly supplemented).