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| 强极小内射模和强极小平坦模 | |
| 引用本文： | 张友,;张秋雨.强极小内射模和强极小平坦模[J].大连民族学院学报,2014,16(5):524-526. |
| 作者姓名： | 张友 ;张秋雨 |
| 作者单位： | 1.大连民族学院 理学院,辽宁 大连 116605; 2.丽水职业高级中学,浙江 丽水323000 |
| 摘 要： | 引入了强极小内射模和强极小平坦模的概念,并且给出了它们一些等价命题及其性质,强极小内射模关于直积、直和项、模扩张封闭,强极小平坦模关于直积、直和项、模扩张、正向极限封闭。 |
| 关 键 词： | 内射模 强极小内射模 强极小平坦模 |
Strong Minimal Injective Module and Strong Minimal Flat Module |
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| ZHANG You,ZHANG Qiu-yu.Strong Minimal Injective Module and Strong Minimal Flat Module[J].Journal of Dalian Nationalities University,2014,16(5):524-526. | |
| Authors: | ZHANG You ZHANG Qiu-yu |
| Institution: | 1.School of Science, Dalian Nationalities University, Dalian Liaoning 116605, China; 2.Lishui Occupation senior high school, Lishui Zhejiang 323000, China |
| Abstract: | In this paper, we first give the concept of the strong minimal injective module and the strong minimal flat module, and give some equivalent propositions and properties. The strong minimal injective module is closed module on the direct product, direct sum and the expansion of module. The strong minimal flat module is closed module on the direct product, direct sum, the expansion of module and direct limit. |
| Keywords: | injective module strong minimal injective module strong minimal flat module |
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