摘要
设A和B是含有单位元的环,U是(B,A)-双模.记(U^(A)B^(O))是形式三角矩阵环;M=(M_(2)^(M1))^(φM)是一个左T模.采用类比、归纳与演绎推理等方法,研究了M何时是Gorenstein FP_(n)-内射左T-模?针对这个问题,给出了M是Gorenstein FP_(n)-内射左T-模的一个充分条件.
T=(U^(A)B^(O))was used to denote a formal triangular maxtrix ring,where A and B were rings with unit and U was a(B,A)-bimodule.M=(M_(2)^(M_(1)))_(φM)was used to denote a left T-module.The question when the left T-module M was a Gorenstein FP_(n)-injective left T-module was studied by means of analog inference,induction and deductive inference.For the considered problem,a sufficient condition for M to be a Gorenstein FP_(n)-injective left T-module was given.
作者
李泳辉
吕家凤
张东东
LI Yonghui;LYU Jiafeng;ZHANG Dongdong(School of Mathematical Sciences,Zhejiang Normal University,Jinhua 321004,China)
出处
《浙江师范大学学报(自然科学版)》
2025年第3期258-266,共9页
Journal of Zhejiang Normal University:Natural Sciences
基金
国家自然科学面上基金资助项目(12171206)。
