TY - JOUR T1 - A Characterization of Weak $n$-Tilting Modules AU - Yuan , Qianqian AU - Yao , Hailou JO - Journal of Mathematical Study VL - 2 SP - 149 EP - 163 PY - 2024 DA - 2024/06 SN - 57 DO - http://doi.org/10.4208/jms.v57n2.24.02 UR - https://global-sci.org/intro/article_detail/jms/23166.html KW - Weak $n$-star module, Weak $n$-tilting module, $n$-Quasi-flat module. AB -

It is well known that weak $n$-tilting modules are vital in tilting theory, which are generalizations of $n$-tilting and $n$-cotilting modules. The aim of this paper is to give a new characterization of weak $n$-tilting modules. In order to do that, we introduce the notion of weak $n$-star modules. We study more deeply the properties of them. Moreover, connections between (co) star and weak $n$-star modules are given.