关于GI-平坦模的注记  

A note on GI-flat modules

作　　者：陈翔[1] 

机构地区：[1]闽江学院数学系,福建福州350121

出　　处：《闽江学院学报》2013年第2期8-9,41,共3页Journal of Minjiang University

基　　金：闽江学院科技育苗项目(YKY12001)

摘　　要：利用GI-平坦模与Gorenstein平坦维数给出了平坦模的另一等价刻划,并得到了环R是左Gorenstein半遗传环时,右R模M是GI-平坦模当且仅当M是平坦模;在交换环的条件下利用Hom函子,A函子刻划了GI-平坦模;另外还给出了短正合列上的模的GI平坦维数的关系.By using the concept of GI-flat module and Gorenstein flat dimension, a new characterization of flat modules is put forward. It is also proved that： if R is left Gorenstein semihereditary, M is GI-flat if and only if M is flat; if R is commutative, by using Horn functor and -A functor, some equivalence charac- terizations of GI-flat modules are given; let O→A→B→C→O be an exact sequence of right R-modules, the relationship between these modules＇ GI-flat dimension is discussed.

关 键 词：GORENSTEIN内射模 GORENSTEIN平坦模 GI-内射模 GI-平坦模 

分 类 号：O153.3[理学—数学]