Representation of \(n\)-abelian categories in abelian categories

DOI10.1016/J.JALGEBRA.2020.07.010zbMath1441.18009arXiv2001.01254OpenAlexW3045711155MaRDI QIDQ2197781

Alireza Nasr-Isfahani, Ramin Ebrahimi

Publication date: 1 September 2020

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

Full work available at URL: https://arxiv.org/abs/2001.01254

zbMATH Keywords

embedding theoremabelian categoryhomological algebra\(n\)-abelian categoryhigher homological algebra

Mathematics Subject Classification ID

Abelian categories, Grothendieck categories (18E10) Categorical embedding theorems (18E20) Tricategories, weak (n)-categories, coherence, semi-strictification (18N20)

Related Items (3)

Localization theory in higher homological algebra ⋮ The completion of \(d\)-abelian categories ⋮ The existence of n-Auslander–Reiten sequences via determined morphisms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(n\)-abelian and \(n\)-exact categories
• Cluster tilting for higher Auslander algebras.
• Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories.
• Auslander correspondence.
• Homological algebra in \(n\)-abelian categories
• Exact categories
• Right n-angulated categories arising from covariantly finite subcategories
• Imbedding of Abelian Categories
• Auslander-Reiten theory revisited
• An introduction to higher Auslander-Reiten theory
• Des catégories abéliennes
• The Full Imbedding Theorem

This page was built for publication: Representation of \(n\)-abelian categories in abelian categories