n阶三角矩阵环上模的生成子和投射盖  

Generators and projective covers of modules over triangular matrix rings of order n

作　　者：狄振兴 殷玉洁 孙博 DI Zhen-xing;YIN Yu-jie;SUN Bo(College of Mathematics and Statistics,Northwost Normal University,Lanzhou 730070,Gansu,China)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《西北师范大学学报（自然科学版）》2021年第3期22-25,共4页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11971388)。

摘　　要：设Γ是一个n阶三角矩阵环,这里n≥2是一个整数.给出了一个左Γ-投射模是左Γ-模范畴中的生成子的等价刻画,以及任意左Γ-模有投射盖的等价刻画,并且描述了投射盖的具体形式.LetΓbe a triangular matrix ring of order n,where n≥2 is an integer.In this paper,an equivalent characterization for a leftΓ-projective module to be a generator is given in the category of all leftΓ-modules.Moreover,an equivalent characterization for any leftΓ-module to have a projective cover is also given,and the explicit form of the projection cover is described.

关 键 词：n阶三角矩阵环 投射模 生成子 投射盖 

分 类 号：O153.3[理学—数学]