Morita环上的F-Gorenstein平坦模  

F-Gorenstein flat modules over Morita rings

作　　者：杨晓燕 汪静 YANG Xiao-yan;WANG Jing(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）》2024年第1期11-13,29,共4页Journal of Northwest Normal University(Natural Science)

摘　　要：设Λ(0,0)=(^(A)^(M)^(N)_(B))是Morita环,其中A和B是环,N为(A,B)-双模,M为(B,A)-双模.证明了若双模M和N满足某些条件,则函子T A:Mod-A→Mod-Λ(0,0)和T B:Mod-B→Mod-Λ(0,0)保持F-Gorenstein平坦性.LetΛ(0,0)=(^(A)^(M)^(N)_(B))be a Morita ring,where A and B are two rings,N is a(A,B)-bimodule and M is a(B,A)-bimodule.It is proved that the functors T A:Mod-A→Mod-Λ(0,0)and T B:Mod-B→Mod-Λ(0,0)preserve F-Gorenstein flat if the bimodules M and N satisfies some conditions.

关 键 词：Morita环 F-Gorenstein平坦模 平坦余挠模 余挠模 

分 类 号：O153.3[理学—数学]