摘要
设R是环,M是R-R-双模,R■M是环R按双模M的平凡环扩张.研究了模的n-Gorenstein投射性在范畴R-Mod和R M-Mod之间的传递性.在一定条件下,证明了(X,α)是n-Gorenstein投射左R■M-模当且仅当序列M■_(R)M■_(R)X→M■α→M■_(R)X→α→X正合,并Cokerα且Cokerα是n-Gorenstein投射左R-模.
Let R be ring,M be R-R-bimodule and R■M be a trivial ring extension of a ring R by an R-R-bimodule M.In this paper,the transitivity of the n-Gorenstein projectivity of modules between the category R-Mod and R■M-Mod is investigated.Under certain conditions,it is proved that(X,α)is an n-Gorenstein projective left R■M-module if and only if the sequence M■_(R)M■_(R)X→M■α→M■_(R)X→α→X is exact,and Cokerαis an n-Gorenstein projective left R-module.
作者
张文汇
赵为东
刘立丽
ZHANG Wen-hui;ZHAO Wei-dong;LIU Li-li(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gansu,China)
出处
《西北师范大学学报(自然科学版)》
2025年第2期59-63,共5页
Journal of Northwest Normal University(Natural Science)
基金
国家自然科学基金资助项目(12461003)。
