| 特征模对环的刻划 |
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| 引用本文： | 朱晓胜.特征模对环的刻划[J].数学学报,1996,39(6):743-750. |
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| 作者姓名： | 朱晓胜 |
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| 作者单位： | 河海大学数理系 |
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| 摘 要： | 设Ｒ是一个环，Ｍ是一个左Ｒ摸，Ｍ＊＝ＨｏｍＺ（Ｍ，Ｑ／Ｚ）为Ｍ的特征模．Ｒ．Ｒ．Ｃｏｌｂｙ和Ｔ．Ｊ．Ｃｈｏａｔｈａｎ等人利用特征模对ＩＦ环、凝聚环、Ｎｏｅｔｈｅｒ环、Ａｒｔｉｎ环作出了一些非常好的刻划．本文利用特征模对更为广泛的一些环作出了较有意义的刻划．
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| 关 键 词： | 环，特征模，内射，平坦，投射 |
| 收稿时间： | 1995-5-15 |
Characterize rings with character modules |
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| Zhu Xiaosheng.Characterize rings with character modules[J].Acta Mathematica Sinica,1996,39(6):743-750. |
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| Authors: | Zhu Xiaosheng |
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| Institution: | Zhu Xiaosheng(Department of Mathematics and Physics,Hehai University, Nanjing 210098,China) |
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| Abstract: | Let R be a ring,M a left R-module,M* = Homz(M, Q/Z), the character module of M.Colby,R.R.and Chetham,T.J.obtained some characterizations of iF rings,coherent rings, Noetherian rings, Artinian rings with "character modules", respectively.In this paper, using the notion of"character"modules,we obtain a number of more significant characterizations of some rings. |
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| Keywords: | Ring Character module Injective Flat Projective |
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