| 关于拟Keszul模的注记 |
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| 引用本文： | 张素红.关于拟Keszul模的注记[J].数学进展,2008,37(5). |
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| 作者姓名： | 张素红 |
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| 摘 要： | 对于每个诺特半完全代数A上的模M1都有一个谱序列E*pq(M)与之相对应.本文证明了有限生成A-模M是拟Koszul的当且仅当谱序列E*pq(M)的第E2层是平凡的.与之对偶,本文叙述了余拟Koszul模情况下的类似结果.
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| 关 键 词： | 拟Koszul模 根虑子 谱序列 |
A Note on Quasi-Koszul Modules |
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| ZHANG Suhong.A Note on Quasi-Koszul Modules[J].Advances in Mathematics,2008,37(5). |
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| Authors: | ZHANG Suhong |
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| Abstract: | Associated to a module M over a noetherian semiperfect algebra A,there is a spectral sequence E*pq(M).It is proved that a finitely generated module M over a noetherian semiperfect algebra is quasi-Koszul if and only if the associated spectral sequence E*pq(M)collapses at E2-level.A dual result is stated without proof as well. |
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| Keywords: | quasi-Koszul modtde radical filtration spectral sequence |
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