Classifying exact categories via Wakamatsu tilting

DOI10.1016/j.jalgebra.2017.04.024zbMath1372.18011arXiv1610.07589OpenAlexW2542308857MaRDI QIDQ2357508

Haruhisa Enomoto

Publication date: 13 June 2017

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

Full work available at URL: https://arxiv.org/abs/1610.07589

zbMATH Keywords

cotilting modulesexact categoriesWakamatsu tilting modulessemi-dualizing modules

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Representations of associative Artinian rings (16G10) Abelian categories, Grothendieck categories (18E10)

Related Items

Auslander's formula and correspondence for exact categories ⋮ Classifications of exact structures and Cohen-Macaulay-finite algebras ⋮ The abelian closure of an exact category ⋮ Tilting subcategories in extriangulated categories ⋮ Support \(\tau\)-tilting subcategories in exact categories ⋮ Tilting pairs and Wakamatsu tilting subcategories over triangular matrix algebras ⋮ Exact categories and infinite tilting ⋮ Intersections, sums, and the Jordan-Hölder property for exact categories ⋮ \( \infty \)-tilting theory ⋮ Auslander's defects over extriangulated categories: an application for the general heart construction ⋮ Exact Krull-Schmidt categories with finitely many indecomposables ⋮ Singularity categories of derived categories of hereditary algebras are derived categories ⋮ The Jordan-Hölder property and Grothendieck monoids of exact categories

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