广义D4模  

Generalized D4 modules

作　　者：王永铎[1] 徐鹏 WANG Yong-duo;XU Peng(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》2022年第6期145-148,共4页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(11861043)。

摘　　要：作为D4模的真推广,引入了广义D4模的概念.研究了这类模的基本性质,给出了广义D4模的一些等价条件.进一步引入了拟D4模的概念,证明了环R是半单环当且仅当每个R-模是拟D4模.As a proper generalization of D4 modules, the concept of generalized D4 modules is introduced in this paper. Some equivalent conditions of generalized D4 modules are given by studing the basic proerties of such modules. Furthermore, the concept of pseudo D4 modules is introduced. and it is shown that a ring R is semisimple if and only if each R-module is a pseudo D4 module.

关 键 词：广义D4模 半单环 直和项 拟D4模 

分 类 号：O153.3[理学—数学]