多项式环上的Gorenstein FP-内射模
Gorenstein FP-Injective Modules over Polynomial Rings
DOI: 10.12677/PM.2026.162056, PDF,   
作者: 付 安：西北师范大学数学与统计学院，甘肃兰州
关键词: Gorenstein FP-内射模；多项式环；Gorenstein FP-Injective Module； Polynomial Ring
摘要: 设R是环．本文讨论了多项式环上的 Gorenstein FP-内射模及其维数．证明了若(X,a)是Gorenstein FP-内射左R[x]-模,则α是满同态, ker a和X是Gorenstein FP-内射左R-模.
Abstract: Let R be a ring. In this paper, Gorenstein FP-injective modules and dimensions over polynomial rings were introduced. It is proved that if (X,a) is a Gorenstein FPinjective left R[x]-module, then a is an epimorphism, ker a and X are both Gorenstein FP-injective left R-modules.
文章引用：付安. 多项式环上的Gorenstein FP-内射模[J]. 理论数学, 2026, 16(2): 260-266. https://doi.org/10.12677/PM.2026.162056

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