| 局部上同调模的Artin性质 |
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| 引用本文： | 禇利忠.局部上同调模的Artin性质[J].东北数学,2007,23(1):87-94. |
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| 作者姓名： | 禇利忠 |
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| 作者单位： | Department of |
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| 摘 要： | In this paper,let (R,m)be a Noetherian local ring,I(?)R an ideal, M and N be two finitely generated modules.Firstly,we study the properties of H_I~t(M),t=f-depth(I,M) and discuss the relationship between the Artinianness of H_I~i(M,N) and the Artinianness of H_I~i(N).Then,we get that H_I~d(M,N)is I-cofinite,if(R,m)is a d-dimensional Gorenstein local ring.
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| 关 键 词： | 局部上同调模 Artin性质 滤波器 正则序列 上有限模 |
| 文章编号： | 1000-1778（2007）01-0087-08 |
| 收稿时间： | 2006-04-29 |
| 修稿时间： | 2006-04-29 |
The Artinianness of Local Cohomology Modules |
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| CHU Li-zhong.The Artinianness of Local Cohomology Modules[J].Northeastern Mathematical Journal,2007,23(1):87-94. |
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| Authors: | CHU Li-zhong |
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| Institution: | Department of Mathematics, Suzhou University, Suzhou, 215006 |
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| Abstract: | In this paper,let (R,m)be a Noetherian local ring,I(?)R an ideal, M and N be two finitely generated modules.Firstly,we study the properties of H_I~t(M),t=f-depth(I,M) and discuss the relationship between the Artinianness of H_I~i(M,N) and the Artinianness of H_I~i(N).Then,we get that H_I~d(M,N)is I-cofinite,if(R,m)is a d-dimensional Gorenstein local ring. |
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| Keywords: | local cohomology cofinite modules filter regular sequence |
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