形式三角矩阵环上的Gorenstein FI-内射模
Gorenstein FI-Injective Modules Over Formal Triangular Matrix Rings
DOI:10.12677/PM.2023.1312390,PDF,下载: 113浏览: 174
作者:赵为东：西北师范大学数学与统计学院，甘肃 兰州
关键词:形式三角矩阵环；FI-内射模；Gorensteimn FI-内射模；Formal Triangular Matrix Ring；FI-Injective Module；Gorenstein FI-Injective Module
摘要:本文研究了形式三角矩阵环上的Gorenstein FI- 内射模。设 是形式三角矩阵环，其中A，B 是环，U 是(B,A)-双模。在一定条件下证明了若 是Gorenstein FI-内射左T-模，则M 2是Gorenstein FI-内射左B-模，ker φM ~是Gorenstein FI- 内射左A- 模，并且 φM ~是满同态。
Abstract:Let be a formal triangular matrix ring, where A and B are rings and U is (B,A)-bimodule. This article proves under certain conditions that if is a Gorenstein FI-injective left T-modules, then M2 is a Gorenstein FI-injective left B-modules, ker φM ~is a Gorenstein FI-injective left A-module, and φM ~is an epimorphism.
文章引用：赵为东. 形式三角矩阵环上的Gorenstein FI-内射模[J]. 理论数学, 2023, 13(12): 3771-3779. https://doi.org/10.12677/PM.2023.1312390

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