Finitely presented systems of modules and Lazard's lemma
ZHANG Qianqian1, GUO Li2
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.
基金资助:Supported by the National Natural Science Foundation of China (11371177, 11371178).
作者简介: 张倩倩(1987-),ORCID:http://orcid.org/0000-0001-7619-0136,female,Ph.D.,the fields of interest are representation of modules and cluster algebra,E-mail:zhangqq2014@lzu.edu.cn.
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.
ZHANG Qianqian, GUO Li. Finitely presented systems of modules and Lazard's lemma. Journal of ZheJIang University(Science Edition), 2018, 45(3): 298-303.
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2018, Vol. 45 
