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https://hdl.handle.net/11147/2470| 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). | URI: | http://hdl.handle.net/11147/2470 | ISSN: | 0019-5588 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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