广义C3模  

Generalized C3 modules

作　　者：王永铎[1] 秦丽芳 WANG Yong-duo;QIN Li-fang(School of Science, Lanzhou Univ. of Tech., Lanzhou 730050, China)

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2021年第6期156-159,共4页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(11861043)。

摘　　要：作为C3模的真推广,引入广义C3模(简称G-C3模)的概念,研究这类模的基本性质,证明遗传环R是右V-环当且仅当每个有限余生成R-模是G-C3模当且仅当每个有限余表示R-模是G-C3模.As a proper generalization of C3 modules,the concept of generalized C3 modules(briefly G-C3 modules)is introduced in this paper.Basic properties of these modules are studied and it is shown that a hereditary ring R is a right V-ring if and only if every finitely cogenerated R-module is a G-C3 module if and only if every finitely copresented R-module is a G-C3 module.

关 键 词：C3模 G-C3模 V-环 

分 类 号：O152.7[理学—数学]