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.
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)
出处
《西北师范大学学报（自然科学版）》
CAS
北大核心
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)。
关键词
n阶三角矩阵环
投射模
生成子
投射盖
triangular matrix ring of order n
projective module
generator
projective cover
