| 环的Extensions扩张与余纯维数(英文) |
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| 引用本文： | 卢博.环的Extensions扩张与余纯维数(英文)[J].数学季刊,2012(1):128-132. |
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| 作者姓名： | 卢博 |
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| 作者单位： | College of Mathematics and Information Science,Northwest Normal University |
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| 基金项目： | Supported by the NNSF of China(11001222) |
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| 摘 要： | Let R be a noetherian ring and S an excellent extension of R.cid(M) denotes the copure injective dimension of M and cfd(M) denotes the copure flat dimension of M.We prove that if M S is a right S-module then cid(M S)=cid(M R) and if S M is a left S-module then cfd(S M)=cfd(R M).Moreover,cid-D(S)=cid-D(R) and cfd-D(S)=cfdD(R).
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| 关 键 词： | excellent extension copure injective dimension copure flat dimension |
The Excellent Extensions of Rings and Copure Dimensions |
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| LU Bo.The Excellent Extensions of Rings and Copure Dimensions[J].Chinese Quarterly Journal of Mathematics,2012(1):128-132. |
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| Authors: | LU Bo |
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| Institution: | LU Bo (College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China) |
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| Abstract: | Let R be a noetherian ring and S an excellent extension of R.cid(M) denotes the copure injective dimension of M and cfd(M) denotes the copure flat dimension of M.We prove that if M S is a right S-module then cid(M S)=cid(M R) and if S M is a left S-module then cfd(S M)=cfd(R M).Moreover,cid-D(S)=cid-D(R) and cfd-D(S)=cfdD(R). |
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| Keywords: | excellent extension copure injective dimension copure flat dimension |
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