| 广义分段Koszul代数 |
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| 引用本文： | 夏琦,卢涤明.广义分段Koszul代数[J].数学年刊A辑(中文版),2010,31(1):35-42. |
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| 作者姓名： | 夏琦 卢涤明 |
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| 作者单位： | 浙江大学数学系; |
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| 基金项目： | 国家自然科学基金(No.10971188); 浙江省自然科学基金(No.J20080154)资助的项目 |
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| 摘 要： | 广义分段Koszul代数(简称为K_p代数)一般是一类二次代数,其平凡模允许有非单纯的投射分解.利用Yoneda-Ext代数E(A)给出了分次代数A是K_p代数的一个充分条件,同时讨论了K_p代数的商代数是否继承K_p性质.
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| 关 键 词： | K_2代数 Yoneda-Ext代数 分段Koszul代数 |
Generalization of Piecewise-Koszul Algebras |
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| XIA Qi and LU Diming.Generalization of Piecewise-Koszul Algebras[J].Chinese Annals of Mathematics,2010,31(1):35-42. |
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| Authors: | XIA Qi and LU Diming |
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| Affiliation: | XIA Qi~1 LU Diming~2 1 Corresponding author.Department of Mathematics,Zhejiang University,Hangzhou 310027,China. 2 Department of Mathematics,China. |
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| Abstract: | The generalized piecewise-Koszul algebras(also called K_p algebras for short) are generally a class of quadratic algebras whose trivial modules admitting non-pure resolutions. The authors provide a sufficient condition for a graded algebra A to be K_p in terms of its Yoneda-Ext algebra E(A),and also discuss whether the factor algebras of K_p inherit this property. |
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| Keywords: | K_2 algebra Yoneda-Ext algebra Piecewise-Koszul algebra |
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