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数学与物理
理论数学
Vol. 11 No. 8 (August 2021)
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n-强-F-Ding投射模
n-Strongly-F-Ding Projective Modules
DOI:
10.12677/PM.2021.118166
,
PDF
,
被引量
作者:
钟魁晨
:西北师范大学数学与统计学院,甘肃 兰州
关键词:
Ding投射模
;
n-强Ding投射模
;
n-强-F-Ding投射模
;
Ding Projective Module
;
n-Strongly-F-Ding Projective Module
;
n-Strongly-F-Ding Projective Module
摘要:
引入n-强-F-Ding投射模,给出n-强-F-Ding投射模的等价刻画和基本性质,证明了一个模M是n-强-F-Ding投射模当且仅当M同构于某个n-强-F-Ding投射模与投射模的直和。
Abstract:
In this paper, we introduce n-Strongly-F-Ding projective module, give its equivalent characteriza-tion and basic properties, and prove that a module is n-Strongly-F-Ding projective module if and only if it is isomorphic to a direct sum of a n-Strongly-F-Ding projective module and a projective module.
文章引用:
钟魁晨. n-强-F-Ding投射模[J]. 理论数学, 2021, 11(8): 1482-1487.
https://doi.org/10.12677/PM.2021.118166
参考文献
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