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

作　　者：Yu WANG Yongduo WANG 

机构地区：[1]School of Mathematics and Statistics,Taiyuan Normal University,Shanci 030619,P.R.China [2]School of Scinence,Lanzhou University of Technology,Gansu 730050,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2024年第4期475-482,共8页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.12301055)。

摘　　要：The notions of F I-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 F I-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)is a direct summand of M and Z^(2)(M)is an F I-lifting module if and only if M is t-quasi-dual Baer and an F I-t-K-module.

关 键 词：t-small module FI-t-lifting module t-quasi-dual Baer module 

分 类 号：O153.3[理学—数学]