The stabilized bounded N-derived category of an exact category

Autor:	Frank, Jonas, Schulze, Mathias
Rok vydání:	2024
Předmět:	Mathematics - Category Theory Mathematics - Commutative Algebra 18G50 18G80 (Primary) 16E65 18G35 18G65 (Secondary)
Druh dokumentu:	Working Paper
Popis:	Buchweitz related the singularity category of a (strongly) Gorenstein ring and the stable category of maximal Cohen-Macaulay modules by a triangle equivalence. We phrase his result in a relative categorical setting based on N-complexes instead of classical 2-complexes. The role of Cohen-Macaulay modules is played by chains of monics in a Frobenius subcategory of an exact category. As a byproduct, we provide foundational results on derived categories of N-complexes over exact categories known from the Abelian case or for 2-complexes. Comment: 64 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.18708 Zobrazit plný text záznamu View this record from Arxiv