Cleft扩张下的余纯投射维数  

Copure Projective Dimensions under Cleft Extension

作　　者：陈秀丽[1] 陈建龙[1] 

机构地区：[1]东南大学数学系,南京210096

出　　处：《吉林大学学报（理学版）》2015年第2期264-266,共3页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11371089);江苏省博士后基金(批准号:1302019C)

摘　　要：令H为有限维Hopf代数且A为固定域k上的代数,AB为H-cleft扩张.利用cleft扩张和交叉积间的关系,证明了当H半单时,在cleft扩张下左余纯投射维数是不变的,并给出了A与B的QF性质.Let H be a finite dimensional Hopf algebra and A be an algebra over a fixed field k,using the relations between cleft extension and crossed product,we proved that the left copure projective dimension is invariant under cleft extensions when His semisimple.At the same time,QF properties about Aand B was investigated based on the assumption that ABis H-cleft.

关 键 词：cleft扩张 余纯投射维数 QF环 

分 类 号：O153.3[理学—数学]