| 关于拟SOC-内射模 |
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| 引用本文： | 周吉.关于拟SOC-内射模[J].阜阳师范学院学报(自然科学版),2011(2):16-17. |
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| 作者姓名： | 周吉 |
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| 作者单位： | 安徽大学数学与计算科学学院; |
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| 摘 要： | 内射模是模论中重要的三大模类之一,文章将模的内射性进行推广,把拟内射模已有的性质和SOC-内射模的研究方法相结合,刻画了拟soc-内射模的一些性质,证明了拟soc-内射模的直和性质以及它的不变子模的直和交的性质.通过对拟soc-内射模的研究,可以更好的了解拟soc-内射模.
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| 关 键 词： | 拟soc-内射模 完全不变子模 内射模 |
On Quasi-soc injective modules |
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| ZHOU Ji.On Quasi-soc injective modules[J].Journal of Fuyang Teachers College:Natural Science,2011(2):16-17. |
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| Authors: | ZHOU Ji |
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| Institution: | ZHOU Ji(School of Mathematics and Computational Science,Anhui University,Hefei Anhui 230039,China) |
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| Abstract: | Injective module is one of the three important modules.One purpose of this paper is to mold the injectivity to promote,the quasi-injective module′s nature and soc-injective modules′s research methods are combined,depict some properties of the proposed soc-injective modules,it proved to be soc-injective module direct sum and nature and the nature of its invariant submodule direct sum and cross.Through the proposed soc-injective module study,we can better understand the proposed soc-injective. |
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| Keywords: | Quasi-soc injective module fully invarirant submodules soc-N-injective module |
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