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https://hdl.handle.net/11147/2332| Title: | Rings Whose Modules Are Weakly Supplemented Are Perfect. Applications To Certain Ring Extensions |
| Authors: | Büyükaşık, Engin Lomp, Christian |
| Keywords: | R-modules Hopf-Galois extensions Hopf algebras Modules (Algebra) Rings (Algebra) |
| Publisher: | Mathematica Scandinavica |
| Source: | Büyükaşık, E., and Lomp, C. (2009). Rings whose modules are weakly supplemented are perfect. Applications to certain ring extensions. Mathematica Scandinavica, 105(1), 25-30. doi:10.7146/math.scand.a-15104 |
| Abstract: | In this note we show that a ring R is left perfect if and only if every left R-module is weakly supplemented if and only if R is semilocal and the radical of the countably infinite free left R-module has a weak supplement. |
| URI: | http://dx.doi.org/10.7146/math.scand.a-15104 http://hdl.handle.net/11147/2332 |
| 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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