| 关于极大内射维数与极大平坦维数的注记 |
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| 引用本文： | 王修建,祝家贵,赵建中.关于极大内射维数与极大平坦维数的注记[J].皖西学院学报,2011,27(2):4-6. |
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| 作者姓名： | 王修建 祝家贵 赵建中 |
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| 作者单位： | 皖西学院,应用数学学院,安徽,六安,237012 |
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| 基金项目： | 安徽省高等学校优秀青年人才基金项目，皖西学院自然科学青年研究项目，安徽省教育厅自然科学基金 |
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| 摘 要： | 引进了MQ环的定义,并且在此基础上,得到了r.max.fdM≤n的等价命题,另外对于右R-模短正合列0→M→N→P→0,得到了其上模之间的维数关系,同时对极大内射维数和极大平坦维数的其它性质也作了刻画。
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| 关 键 词： | 极大内射维数 极大平坦维数 MQ环 |
Some Notes on Maximally Injective Dimensions and Maximally Flat Dimensions |
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| WANG Xiu-jian,ZHU Jia-gui,ZHAO Jiao-zhong.Some Notes on Maximally Injective Dimensions and Maximally Flat Dimensions[J].Journal of Wanxi University,2011,27(2):4-6. |
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| Authors: | WANG Xiu-jian ZHU Jia-gui ZHAO Jiao-zhong |
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| Institution: | WANG Xiu-jian,ZHU Jia-gui,ZHAO Jiao-zhong(College of Applied Mathematics,West Anhui University,Lu'an 237012,China) |
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| Abstract: | In the paper,MQ rings are introduced and the equivalence properties of γ max.fdM≤n are shown,meanwhile,the dimensional relationship of modules which are on the short exact sequence(i.e.0MNP0) are given,and other properties of maximally injective dimensions and maximally flat dimensions are also discussed. |
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| Keywords: | maximally injective dimensions maximally flat dimensions MQ rings |
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