FI-t-Lifting Modules and T-Quasi-Dual Baer Modules
Yu WANG 1Yongduo WANG2
作者信息
- 1. School of Mathematics and Statistics,Taiyuan Normal University,Shanxi 030619,P.R.China
- 2. School of Scinence,Lanzhou University of Technology,Gansu 730050,P.R.China
- 折叠
Abstract
The notions of FI-t-lifting modules and t-quasi-dual Baer modules are introduced and the relations between them are studied in this paper.It is shown that an amply supplemented module M is an FI-t-lifting module if and only if every fully invariant t-coclosed submodule of M is a direct summand of M if and only if(Z)2(M)is a direct summand of M and(Z)2(M)is an FI-lifting module if and only if M is t-quasi-dual Baer and an FI-t-K-module.
Key words
t-small module/FI-t-lifting module/t-quasi-dual Baer module引用本文复制引用
基金项目
National Natural Science Foundation of China(12301055)
出版年
2024
NETL
NSTL
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