| 夏琦,卢涤明.广义分段Koszul代数[J].数学年刊A辑,2010,31(1):35~42 |
| 广义分段Koszul代数 |
| Generalization of Piecewise-Koszul Algebras |
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| DOI： |
| 中文关键词: κ_2代数 Yoneda-Ext代数 分段Koszul代数 κ_2 algebra |
| 英文关键词:Yoneda-Ext algebra Piecewise-Koszul algebra |
| 基金项目:国家自然科学基金，浙江省自然科学基金(No.J20080154)资助的项目 |
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| 中文摘要: |
| 广义分段Koszul代数(简称为κ_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κ_p代数的一个充分条件,同时讨论了κ_p代数的商代数是否继承κ_p性质. |
| 英文摘要: |
| The generalized piecewise-Koszul algebras (also called κ_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 κ_p in terms of its Yoneda-Ext algebra E(A),and also discuss whether the factor algebras of κ_p inherit this property. |
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