$n$-$T$-torsionfree modules

Authors

PEIYU ZHANG
JIE GENG

Abstract

As a generalization of the Auslander-Reiten transpose, Xi introduced and studied a more general transpose, called the relative transpose (or, $T$-transpose). Based on this notion, the notion of relative $n$-torsionfree modules (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.

DOI

10.3906/mat-1808-134

Keywords

$n$-torsionfree modules, $n$-$T$-torsionfree module, $n$-spherical, $T$-grade

First Page

688

Last Page

701

Recommended Citation

ZHANG, P, & GENG, J (2019). $n$-$T$-torsionfree modules. Turkish Journal of Mathematics 43 (2): 688-701. https://doi.org/10.3906/mat-1808-134