| SR-投射模与SR-内射模 |
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| 引用本文： | 牟欣.SR-投射模与SR-内射模[J].松辽学刊,2008,29(1):63-65. |
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| 作者姓名： | 牟欣 |
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| 作者单位： | 白城师范学院数学系,吉林白城137000 |
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| 摘 要： | 通过引入半自反模，给出了SR-投射模与SR-内射模的概念，并且分别研究了它们的性质.把投射模对直和，直和项，模扩张封闭等性质推广到了SR-投射模上；利用对偶性，讨论了SR-内射模，并发现SR-内射模和内射模的等价．
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| 关 键 词： | 半自反模 SR-投射模 SR-内射模 |
| 文章编号： | 1000-1840-(2008)01-0063-02 |
| 修稿时间： | 2007年7月23日 |
SR-projective Modules and SR-injective Modules |
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| MOU Xin.SR-projective Modules and SR-injective Modules[J].Songliao Journal (Natural Science Edition),2008,29(1):63-65. |
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| Authors: | MOU Xin |
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| Institution: | MOU Xin( Department of Math in Baicheng Normal College, 137000, China) |
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| Abstract: | By means of introducing semi-reflexive modules, we give the concept of SR-projective modules and SR-injective modules. And we also discuss their properties respectively, The properties of projective modules that keep direct sum, direct summand, extension and so on are generalized to SR-projective modules. According to dual property, we mainly discuss the properties of SR-injective modules, then we find the equivalence between the SR-injective modules and injective modules, so we get a new equivalent definition of injective modules. |
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| Keywords: | semi-reflexive modules SR-projective modules SR-injective modules |
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