| Cleft扩张的余挠维数 |
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| 引用本文： | 贾玲. Cleft扩张的余挠维数[J]. 数学学报, 2013, 0(3): 409-412 |
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| 作者姓名： | 贾玲 |
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| 作者单位： | 鲁东大学数学与信息学院 |
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| 基金项目： | 山东省自然科学基金资助项目(2012AL02);黑龙江省自然科学基金资助项目(A200906) |
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| 摘 要： | 众所周知,如果扩张AB是cleft的,则B≌A#_σH.本文主要讨论B和A的余挠维数之间的关系,得出结论LCD(B)■LCD(A)+RD(H),从而推广了群环余挠维数的结论.作为主要结果的应用,还给出了几个使得LCD(B)=LCD(A)的条件.
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| 关 键 词： | 余挠维数 整体维数 交叉积 Hopf代数 |
The Cotorsion Dimensions of a Cleft Extension |
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| Ling JIA. The Cotorsion Dimensions of a Cleft Extension[J]. Acta Mathematica Sinica, 2013, 0(3): 409-412 |
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| Authors: | Ling JIA |
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| Affiliation: | Ling JIA Department of Mathematics and Information,Ludong University, Yantai 264025,P.R.China |
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| Abstract: | It is known that if an extension AB is cleft,then B is isomorphic to crossed product A#_σH.In this paper we mainly discuss the relations of cotorsion dimensions between A and B and obtain the result LCD(B)■LCD(A) + RD(H) which generalzies those of group rings.As a application,we also give some sufficient conditions for LCD(B) = LCD(A). |
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| Keywords: | cotorsion dimension global dimension crossed product Hopf algebra |
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