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| Quasi-d-Koszul Modules and Applications |
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Citation： |
Jiafeng Lv,Zhibing ZHAO.Quasi-d-Koszul Modules and Applications[J].Chinese Annals of Mathematics B,2010,31(4):481~490 |
| Page view： 1586
Net amount： 1217 |
Authors： |
Jiafeng Lv; Zhibing ZHAO; |
Foundation： |
the Zhejiang Innovation Project (No. T200905). |
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| Abstract： |
Let R be a Noetherian semiperfect algebra. A necessary and sufficient condition
for a finitely generated R-module to be quasi-d-Koszul is given, which improves one of the
main results in [1]. The authors also give a necessary and sufficient condition for the
Minimal Horseshoe Lemma holding in mod(R). As an application, it is proved that the
“Minimal Horseshoe Lemma” is true in the category of quasi-d-Koszul modules under
certain conditions. |
Keywords： |
Quasi-d-Koszul algebras, Quasi-d-Koszul modules, Minimal Horseshoe
Lemma |
Classification： |
16W30 |
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