Turkish Journal of Mathematics
DOI
10.3906/mat-1808-134
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.
Keywords
$n$-torsionfree modules, $n$-$T$-torsionfree module, $n$-spherical, $T$-grade
First Page
688
Last Page
701
Recommended Citation
ZHANG, PEIYU and GENG, JIE
(2019)
"$n$-$T$-torsionfree modules,"
Turkish Journal of Mathematics: Vol. 43:
No.
2, Article 9.
https://doi.org/10.3906/mat-1808-134
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss2/9
