$n$-$T$-torsionfree modules

Authors : Peiyu ZHANG, Jie GENG

Pages : 688-701

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :As a generalization of the Auslander-Reiten transpose, Xi introduced and studied a more general transpose, called the relative transpose insert ignore into journalissuearticles values(or, $T$-transpose);. Based on this notion, the notion of relative $n$-torsionfree modules insert ignore into journalissuearticles values(or, $n$-$T$-torsionfree modules); is introduced in this paper, which is a generalization of the $n$-torsionfree modules introduced by Auslander and Bridger. We show that relative $n$-torsionfree modules have many similar properties of $n$-torsionfree modules.
Keywords : n torsionfree modules, n T torsionfree module, n spherical, T grade