Exactness of direct limits for abelian categories with an injective cogenerator

DOI10.1016/J.JPAA.2018.11.004zbMath1436.18005arXiv1805.05156OpenAlexW2800766592WikidataQ114155448 ScholiaQ114155448MaRDI QIDQ1739170

Jan Šťovíček, L. E. Positsel'skiĭ

Publication date: 25 April 2019

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.05156

Mathematics Subject Classification ID

Abelian categories, Grothendieck categories (18E10) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Eilenberg-Moore and Kleisli constructions for monads (18C20)

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The HRS tilting process and Grothendieck hearts of t-structures ⋮ Topologically semisimple and topologically perfect topological rings ⋮ \(t\)-structures with Grothendieck hearts via functor categories ⋮ On perfectly generated weight structures and adjacent \(t\)-structures

Cites Work

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• Sur quelques points d'algèbre homologique
• The Tilting–Cotilting Correspondence
• Des catégories abéliennes
• On algebraically exact categories and essential localizations of varieties

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