| Frobenius扩张上的Ding投射模 |
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| 引用本文： | 王占平,张睿杰.Frobenius扩张上的Ding投射模[J].山东大学学报(理学版),2019,54(12):74-78. |
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| 作者姓名： | 王占平 张睿杰 |
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| 作者单位： | 西北师范大学数学与统计学院, 甘肃 兰州 730070 |
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| 基金项目： | 国家自然科学基金资助项目(11561061) |
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| 摘 要： | 研究了Frobenius扩张上的Ding投射模和Ding投射维数。设R?A是可分Frobenius扩张,M是任意左A-模,证明了:M是Ding投射左A-模当且仅当M是Ding投射左R-模当且仅当A?RM和HomR(A,M)是Ding投射左A-模。进一步,得到了关于Ding投射维数的结论。
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| 关 键 词： | Frobenius扩张 Ding投射模 Ding投射维数 |
Ding projective modules over Frobenius extensions |
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| WANG Zhan-ping,ZHANG Rui-jie.Ding projective modules over Frobenius extensions[J].Journal of Shandong University,2019,54(12):74-78. |
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| Authors: | WANG Zhan-ping ZHANG Rui-jie |
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| Institution: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China |
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| Abstract: | Ding projective modules over Frobenius extensions and Ding projective dimensions are investigated. Let R?A be a separable Frobenius extension, and let M be any left A-module. It is proved that M is a Ding projective left A-module if and only if M is Ding projective left R-module if and only if ARM and HomR(A,M) are Ding projective left A-modules. Some the conclusion on Ding projective Dimensions are obtained. |
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| Keywords: | Frobenius extensions Ding projective modules Ding projective dimensions |
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