On the Auslander-Bridger-Yoshino theory for complexes of finitely generated projective modules

Autor:	Otake, Yuya
Rok vydání:	2023
Předmět:	Mathematics - Commutative Algebra Mathematics - Rings and Algebras Mathematics - Representation Theory 16E05 16E10 13D02
Druh dokumentu:	Working Paper
Popis:	Let R be a two-sided noetherian ring. Auslander and Bridger developed a theory of projective stabilization of the category of finitely generated R-modules, which is called the stable module theory. Recently, Yoshino established a stable ''complex'' theory, i.e., a theory of a certain stabilization of the homotopy category of complexes of finitely generated projective R-modules. We introduce higher versions of several notions introduced by Yoshino, such as *torsionfreeness and *reflexivity. Also, we prove the Auslander-Bridger approximation theorem for complexes of finitely generated projective R-modules. Comment: 21pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2311.12173 Zobrazit plný text záznamu View this record from Arxiv