The completion of \(d\)-abelian categories

DOI10.1016/j.jalgebra.2024.01.033arXiv2210.00265OpenAlexW4391744265MaRDI QIDQ6123226

Alireza Nasr-Isfahani, Ramin Ebrahimi

Publication date: 4 March 2024

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

Full work available at URL: https://arxiv.org/abs/2210.00265

zbMATH Keywords

completion\(d\)-abelian category\(d\)-cluster tilting subcategory

Mathematics Subject Classification ID

Abelian categories, Grothendieck categories (18E10) Categorical embedding theorems (18E20) Categorical algebra (18E99)

Cites Work

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• Homological theory of recollements of abelian categories
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• Applications of contravariantly finite subcategories
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• Relations for Grothendieck groups of \(n\)-cluster tilting subcategories
• Yoneda extensions of abelian quotient categories
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• Flat and coherent functors
• Divisible modules and localization
• Axiomatizing subcategories of abelian categories
• The spectrum of a module category
• Right n-angulated categories arising from covariantly finite subcategories
• Auslander-Reiten theory revisited
• Locally finitely presented additive categories
• Higher Auslander’s Formula
• Modules with perfect decompositions
• Des catégories abéliennes
• Gabriel-Quillen embedding for n-exact categories

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