| Cleft扩张下的余纯投射维数 |
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| 引用本文： | 陈秀丽,陈建龙. Cleft扩张下的余纯投射维数[J]. 吉林大学学报(理学版), 2015, 53(2): 264-266 |
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| 作者姓名： | 陈秀丽 陈建龙 |
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| 作者单位： | 东南大学 数学系, 南京 210096 |
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| 基金项目： | 国家自然科学基金(批准号:11371089);江苏省博士后基金(批准号:1302019C) |
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| 摘 要： | 令H为有限维Hopf代数且A为固定域k上的代数, AB为H-cleft扩张. 利用cleft扩张和交叉积间的关系, 证明了当H半单时, 在cleft扩张下左余纯投射维数是不变的, 并给出了%A与B%的QF性质.
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| 关 键 词： | cleft扩张 余纯投射维数 QF环 |
| 收稿时间： | 2014-11-21 |
Copure Projective Dimensions under Cleft Extension |
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| CHEN Xiuli , CHEN Jianlong. Copure Projective Dimensions under Cleft Extension[J]. Journal of Jilin University: Sci Ed, 2015, 53(2): 264-266 |
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| Authors: | CHEN Xiuli CHEN Jianlong |
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| Affiliation: | Department of Mathematics, Southeast University, Nanjing 210096, China |
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| Abstract: | Let H be a finite dimensional Hopf algebra and A be an algebra over a fixed field k, using the relations between cleft extension and crossed product, we proved that the left copure projective dimension is invariant under cleft extensions when H is semisimple. At the same time, QF properties about A and B was investigated based on the assumption that AB is H cleft. |
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| Keywords: | cleft extension copure projective dimension QF ring |
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