相对于半对偶化模的环的Gorenstein整体维数  

GORENSTEIN GLOBAL DIMENSIONS OF RINGS WITH RESPECT TO A SEMIDUALIZING MODULE

作　　者：黄云涛 宋伟灵[1] 赵国强 Huang Yuntao;Song Weiling;Zhao Guoqiang(Department of Applied Mathematics,College of Science,Nanjing Forestry University,Nanjing 210037;Department of Mathematics,School of Science,Hangzhou Dianzi University,Hangzhou 310018)

机构地区：[1]南京林业大学理学院应用数学系,南京210037 [2]杭州电子科技大学理学院数学系,杭州310018

出　　处：《南京大学学报（数学半年刊）》2020年第2期213-221,共9页Journal of Nanjing University(Mathematical Biquarterly)

摘　　要：设R是交换环且C是一个半对偶化模.我们证明了R的整体G_(C)-投射维数和整体G_(C)-内射维数是相等的.我们还研究了R的整体G_(C)-平坦维数的性质.Let R be a commutative ring and C a semidualizing module.We prove that the global G_(C)-projective dimension and the global G_(C)-injective dimension of R are identical.We also investigate the properties of the global G_(C)-flat dimension of R.

关 键 词：半对偶化模 G_(C)-投射(内射)模 强G_(C)-投射(内射)模 G_(C)-同调维数 

分 类 号：O154.2[理学—数学]