相对于半对偶化模的Ding投射模的正交类  

Orthogonal classes of Ding projective module with respect to a semidualizing module

作　　者：杨晓燕 杨阳 YANG Xiao-yan;YANG Yang(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gansu,China)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《西北师范大学学报（自然科学版）》2020年第5期22-25,共4页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11761060)。

摘　　要：引入相对于半对偶化模的Ding平坦模的概念,证明了:DP C(R)■DF C(R)当且仅当对每一个C-FP-内射模E,其特征模E+∈DP C(R)⊥;进一步,证明了sup{DF C-pd R(M)M∈DP C(R)}=0.The concept of Ding flat module with respect to a semidualizing module is introduced,and it is proved that every D C-projective module is D C-flat if and only if for every C-FP-injective module E,the charcter module E+∈DD C(R)⊥.Moreover,it is obtained that sup{DF C-pd R(M)|M∈DF C(R)}=0.

关 键 词：半对偶化模 D C-投射模 D C-平坦模 C-FP-内射模 正交类 

分 类 号：O153.3[理学—数学]