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| 模的有限表现系统和Lazard引理 | |
| 引用本文： | 张倩倩,郭锂.模的有限表现系统和Lazard引理[J].浙江大学学报(理学版),2018,45(3):298-303. |
| 作者姓名： | 张倩倩 郭锂 |
| 作者单位： | 1. 兰州大学 数学与统计学院, 甘肃 兰州 730000; 2. 罗格斯大学 数学与计算机科学学院, 新泽西 纽华克 07102 |
| 基金项目： | Supported by the National Natural Science Foundation of China (11371177, 11371178). |
| 摘 要： | Lazard引理阐述了任意一个模都可以表示成有限表现模构成的正向系统的正向极限.本文通过推广Lazard引理中的（C，D）-子商系统，建立了研究Lazard引理中泛性质的一个框架.进一步证明了不同正向系统下的泛性质，提出了在一般意义下进一步研究的问题. |
| 关 键 词： | 有限表现模 正向极限 Lazard定理 |
| 收稿时间： | 2017-10-01 |
Finitely presented systems of modules and Lazard's lemma |
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| ZHANG Qianqian,GUO Li.Finitely presented systems of modules and Lazard's lemma[J].Journal of Zhejiang University(Sciences Edition),2018,45(3):298-303. | |
| Authors: | ZHANG Qianqian GUO Li |
| Affiliation: | 1. School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China; 2. Department of Mathematics and Computer Science, Rutgers University, Newark 07102, NJ, US |
| Abstract: | According to the fundamental lemma of Lazard, any module can be expressed as the limit of a direct system of finitely presented modules. In this paper, we propose a generalization of the (C,D)-subquotient systems in Lazard's lemma and set up a framework to study the universal property of the Lazard lenna. We prove this property for some direct systems and pose questions for the general case. |
| Keywords: | finitely presented module direct limit Lazard's theorem |
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