相对于Gorenstein内射预包络复形的同调维数  

Dimensions of complexes related to Gorenstein injective preenvelopes

作　　者：吴德军[1] 赵晓宇 WU De-jun;ZHAO Xiao-yu(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》2023年第5期157-162,共6页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(12261056)。

摘　　要：设R是具有单位元的结合环,X是R-模复形.给出相对于Gorenstein内射预包络复形X的同调维数的定义和基本性质,并研究相对于Gorenstein内射预包络复形的同调维数与复形的Gorenstein内射维数的关系.Let R be an associative ring with identity and X be an R-complex.The definition and basic properties of the homological dimension of X related to the Gorenstein injective preenvelope are given,and the relationship between the homological dimension of X concerning Gorenstein injective preenvelope and the Gorenstein dimension of X is studied.

关 键 词：特殊的Gorenstein内射预包络 同调维数 几乎余同构 

分 类 号：O154.2[理学—数学]