| 广义Fitting模的扩张 |
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| 引用本文： | 严兴凤,刘仲奎. 广义Fitting模的扩张[J]. 数学研究及应用, 2010, 30(3): 407-414. DOI: 10.3770/j.issn:1000-341X.2010.03.004 |
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| 作者姓名： | 严兴凤 刘仲奎 |
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| 作者单位： | 西北师范大学数学与信息科学学院, 甘肃 兰州 730070;西北师范大学数学与信息科学学院, 甘肃 兰州 730070 |
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| 基金项目： | 国家自然科学基金(Grant No.10961021). |
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| 摘 要： | In this paper, we study the closeness of strongly （∞）-hopfian properties under some constructions such as the ring of Morita context, direct products, triangular matrix, fraction ring etc. Also, we prove that if M[X] is strongly hopfian （resp. strongly co-hopfian） in R[X]-Mod, then M is strongly hopfian （resp. strongly co-hopfian） in R-Mod.
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| 关 键 词： | Generalized Fitting modules strongly hopfian modules strongly co-hopfian mod-ules. |
| 收稿时间： | 2007-10-16 |
| 修稿时间： | 2008-04-16 |
Extensions of Generalized Fitting Modules |
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| Xing Feng YAN and Zhong Kui LIU. Extensions of Generalized Fitting Modules[J]. Journal of Mathematical Research with Applications, 2010, 30(3): 407-414. DOI: 10.3770/j.issn:1000-341X.2010.03.004 |
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| Authors: | Xing Feng YAN and Zhong Kui LIU |
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| Affiliation: | Department of Mathematics, Northwest Normal University, Gansu 730070, P. R. China |
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| Abstract: | In this paper, we study the closeness of strongly (co)-hopfian properties under some constructions such as the ring of Morita context, direct products, triangular matrix, fraction ring etc. Also, we prove that if $M[X]$ is strongly hopfian (resp. strongly co-hopfian) in $R[X]$-Mod, then $M$ is strongly hopfian (resp. strongly co-hopfian) in $R$-Mod. |
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| Keywords: | Generalized Fitting modules strongly hopfian modules strongly co-hopfian modules. |
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