| 上有限I-补模 |
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| 引用本文： | 罗立兴.上有限I-补模[J].甘肃科学学报,2012(3):7-9. |
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| 作者姓名： | 罗立兴 |
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| 作者单位： | 兰州理工大学理学院,甘肃兰州730050 |
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| 摘 要： | 设R是环,M是环R上的左模,I是R的理想.称M为上有限I-补模,若对于M的任意上有限子模X,存在M的子模Y,使得X+Y=M,X∩YIY且X∩Y在Y中是PSD的.该定义推广了I-补模.并给出了上有限I-补模的一些性质.
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| 关 键 词： | 上有限子模 上有限I-补模 PSD |
Cofinitely I-Supplemented Modules |
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| LUO Li-xing.Cofinitely I-Supplemented Modules[J].Journal of Gansu Sciences,2012(3):7-9. |
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| Authors: | LUO Li-xing |
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| Institution: | LUO Li-xing (College of Sciences ,Lanzhou Unizersity of Science and Technology ,Lanzhou 730050,China) |
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| Abstract: | Let R be a ring,M be a left module over a ring R and I an ideal of R. A module M is called cofi- nitely I-supplemented if for every cofinite submodule X of Y,there is a submodule Y of M such that X＋Y=M, XNYIY and XNY is PSD in Y. This definition generalizes I-supplemented modules. Some prop- erties of cofinitely I-supplemented modules are given. |
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| Keywords: | cofinite submodule cofinitely I- supplemented module PSD |
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