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Title: Cofinitely weak supplemented lattices
Authors: Alizade, Rafail
Toksoy, Sultan Eylem
Keywords: Cofinite element
Cofinitely weak supplemented lattice
Weak supplement
Issue Date: Oct-2009
Publisher: Indian National Science Academy
Source: Alizade, R., and Toksoy, S. E. (2009). Cofinitely weak supplemented lattices. Indian Journal of Pure and Applied Mathematics, 40(5), 337-346.
Abstract: 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).
ISSN: 0019-5588
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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