A Characterization of Weak $n$-Tilting Modules

Abstract

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.