Gorenstein投射模的张量积  

TENSOR PRODUCTS OF GORENSTEIN PROJECTIVE MODULES

作　　者：黄云涛 宋伟灵[1] Huang Yuntao;Song Weiling(Department of Applied Mathematics,College of Science,Nanjing Forestry University,Nanjing 210037)

机构地区：[1]南京林业大学理学院应用数学系,南京210037

出　　处：《南京大学学报（数学半年刊）》2020年第1期83-88,共6页Journal of Nanjing University(Mathematical Biquarterly)

摘　　要：设R和S是代数闭域K上的有限维代数.如果M和N分别是有限生成的(半-)Gorenstein投射右R-模和右S-模,则M■KN是有限生成的(半-)Gorenstein投射右R■KS-模.作为应用,如果R的上三角矩阵代数是CM-有限的,则R也是CM-有限的.Let R and S be finite dimensional algebras over an algebraically closed field K.If M and N are finitely generated(semi-)Gorenstein projective right R-module and right S-module respectively,then M■k is a finitely generated(semi-)Gorenstein projective right R■K-module.As an application,we get that if the upper triangular matrix algebra of an algebra R is CM-finite,then so is R.

关 键 词：张量积 半-Corcnstcin投射模 Corcnstcin投射模 上三角矩阵代数 

分 类 号：O154.2[理学—数学]