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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.
}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v57n2.24.02}, url = {http://global-sci.org/intro/article_detail/jms/23166.html} }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.