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.