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https://hdl.handle.net/11147/2350| Title: | Extensions of Weakly Supplemented Modules |
| Authors: | Alizade, Rafail Büyükaşık, Engin |
| Keywords: | Weakly supplemented modules R-modules |
| Publisher: | Mathematica Scandinavica |
| Source: | Alizade, R., and Büyükaşık, E. (2008). Extensions of weakly supplemented modules. Mathematica Scandinavica, 103(2), 161-168. |
| Abstract: | It is shown that weakly supplemented modules need not be closed under extension (i.e. if U and M/U are weakly supplemented then M need not be weakly supplemented). We prove that, if U has a weak supplement in M then M is weakly supplemented. For a commutative ring R, we prove that R is semilocal if and only if every direct product of simple R-modules is weakly supplemented. |
| URI: | http://hdl.handle.net/11147/2350 |
| ISSN: | 0025-5521 0025-5521 |
| 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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