The acyclic closure of an exact category and its triangulation

DOI10.1016/j.jalgebra.2020.09.010zbMath1451.18022OpenAlexW3085624366MaRDI QIDQ2204846

Wolfgang Rump

Publication date: 16 October 2020

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2020.09.010

zbMATH Keywords

exact categorysingularity categorystable categorynon-commutative resolutionGorenstein projectiveacyclic closurebiresolvingimage categorytwo-sided localization

Mathematics Subject Classification ID

Cohen-Macaulay modules in associative algebras (16G50) Abelian categories, Grothendieck categories (18E10) Chain complexes (category-theoretic aspects), dg categories (18G35) Localization of categories, calculus of fractions (18E35) Derived categories, triangulated categories (18G80) Lattices over orders (16H20)

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A note on derived categories of the second kind ⋮ The abelian closure of an exact category ⋮ Exact categories, big Cohen-Macaulay modules and finite representation type ⋮ Representation theory of quivers and finite-dimensional algebras. Abstracts from the workshop held February 12--18, 2023 ⋮ Exact categories and infinite tilting ⋮ Localization of extriangulated categories

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