三角矩阵环上FC-投射模的刻画  

A characterization of FC-projective modules over triangular matrix rings

作　　者：吴德军[1] 付家慧 WU De-jun;FU Jia-hui(School of Science,Lanzhou Univ.of Tech.,Lanzhou 730050,China)

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2022年第4期144-151,共8页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(11761047)。

摘　　要：设T=(A 0 U B)是形式三角矩阵环,其中A,B是环,U是(B,A)-双模.给出了有限余生成左T-模和有限余表示左T-模在形式三角矩阵环上的等价刻画,进而给出了形式三角矩阵环T上FC-投射左T-模的刻画.作为应用,讨论了左T-模的FC-投射维数.Let T=(A 0 U B) be a formal triangular matrix ring,where A and B are rings and U is a(B,A)-bimodule.Equivalent characterizations of left T-modules of finite cogeneration and finite corepresentation on the formal triangular matrix ring are given.Furthermore,a characterization of FC-projective left T-modules over the formal triangular matrix ring is given.As an application,the FC-projective dimensions of left T-modules are discussed.

关 键 词：FC-投射模 余诺特环 FC-投射维数 

分 类 号：O154.2[理学—数学]