Gorenstein MF-投射模
Gorenstein MF-Projective Modules
DOI: 10.12677/PM.2022.124063, PDF,   
作者: 周彩霞：西北师范大学，数学与统计学院，甘肃 兰州
关键词: MF-投射模；Gorenstein MF-投射模；预覆盖；MF-Projective Module； Gorenstein MF-Projective Module； Precover
摘要: 本文引入了Gorenstein MF-投射模的概念，讨论了这类模的基本同调性质，给出了R是半单环时，任意R-模都是Gorenstein MF-投射模的等价刻画，证明了Gorenstein MF-投射维数有限的R-模G都存在特殊的Gorenstein MF-投射预覆盖。
Abstract: In this paper, Gorenstein MF-Projective modules are introduced. We discuss the homological properties of Gorenstein MF-projective modules, give that R is semi-simple ring, and any R-module is a Gorenstein MF-projective module, and prove that any R-module G with finite Gorenstein MF-projective dimension exists special Gorenstein MF-projective precover.
文章引用：周彩霞. Gorenstein MF-投射模[J]. 理论数学, 2022, 12(4): 565-571. https://doi.org/10.12677/PM.2022.124063

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