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FI-t-Lifting Modules and T-Quasi-Dual Baer Modules

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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.

t-small moduleFI-t-lifting modulet-quasi-dual Baer module

Yu WANG、Yongduo WANG

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School of Mathematics and Statistics,Taiyuan Normal University,Shanxi 030619,P.R.China

School of Scinence,Lanzhou University of Technology,Gansu 730050,P.R.China

National Natural Science Foundation of China

12301055

2024

数学研究及应用
大连理工大学

数学研究及应用

影响因子:0.094
ISSN:2095-2651
年,卷(期):2024.44(4)