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math.RT2022
Stable categories of spherical modules and torsionfree modules
Yuya Otake
Auslander and Bridger introduced the notions of n-spherical modules and n-torsionfree modules. In this paper, we construct an equivalence between the stable category of n-spherical…
math.RT2022
Morphisms represented by monomorphisms with n-torsionfree cokernel
Yuya Otake
We introduce and study a new class of morphisms which includes morphisms represented by monomorphisms in the sense of Auslander and Bridger. As an application, we give not only an…