| M-本质内射模和本质内射维数 |
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| 引用本文： | 刘琼,欧阳柏玉.M-本质内射模和本质内射维数[J].湖南师范大学自然科学学报,2007,30(3):6-10. |
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| 作者姓名： | 刘琼 欧阳柏玉 |
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| 作者单位： | 1. 上海交通大学数学系,中国,上海,200240
2. 湖南师范大学数学与计算机科学学院,中国,长沙,410081 |
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| 摘 要： | 在M-内射模的基础上引进了M-本质内射模的概念,研讨了M-本质内射模的一些性质,并且引入了M的本质内射分解和本质内射维数的概念,深入探讨了内射维数和本质内射维数之间的关系,得出了一些重要的结论.
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| 关 键 词： | M-本质内射模 内射模 内射维数 本质内射维数 |
| 文章编号： | 1000-2537（2007）03-0006-05 |
| 修稿时间： | 2006-10-20 |
M-essential Injective Modules and Essential Injective Dimension |
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| LIU Qiong,OUYANG Bai-yu.M-essential Injective Modules and Essential Injective Dimension[J].Journal of Natural Science of Hunan Normal University,2007,30(3):6-10. |
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| Authors: | LIU Qiong OUYANG Bai-yu |
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| Institution: | 1. Department of Mathematics, Shanghai Jiaotong University, shanghai 200240, China ; 2. College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, China |
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| Abstract: | The concept of M-essential injective modules is introduced on the basis of M-injective modules.Some equivalent characterizations of M-essential injective modules are given and the properties of M-essential injective modules are studied.Moreover,some other equivalent characterizations of injective modules and selfinjective rings are given.Similar to the injective resolution of M,the essential injective resolution and left essential injective dimension of M are defined,and the connections between left injective dimension and left essential injective dimension of M are further studied. |
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| Keywords: | M-essential injective module injective module injective dimension essential injective dimension |
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