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数学与物理
理论数学
Vol. 11 No. 5 (May 2021)
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Gorenstein强FI-内射模
Gorenstein Strongly FI-Injetive Modules
DOI:
10.12677/PM.2021.115110
,
PDF
,
被引量
作者:
袁 倩
:西北师范大学数学与统计学院,甘肃 兰州
关键词:
强FI-内射模
;
Gorenstein强FI-内射模
;
余挠对
;
Strongly FI-Injetive Module
;
Gorenstein Strongly FI-Injetive Module
;
Cotorsion Pair
摘要:
引入强FI-内射模和Gorenstein强FI-内射模,讨论了这两类模的同调性质,证明了(
⊥
1
SFI(R),SFI(R))是遗传完备的余挠对。
Abstract:
The strongiy FI-injective modules and the Gorenstein strongly FI-injective modules are introduced, and the homology properties of these two types of modules are discussed. It is proved that (
⊥
1
SFI(R),SFI(R)) is a hereditary-complete cotorsion pair.
文章引用:
袁倩. Gorenstein强FI-内射模[J]. 理论数学, 2021, 11(5): 966-972.
https://doi.org/10.12677/PM.2021.115110
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