Cotorsion classes in higher homological algebra

DOI10.1016/j.jpaa.2021.106839zbMath1468.18010arXiv2010.03423OpenAlexW3179752603MaRDI QIDQ1979305

Somayeh Sadeghi, Azadeh Mehregan, Javad Asadollahi

Publication date: 2 September 2021

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

Full work available at URL: https://arxiv.org/abs/2010.03423

zbMATH Keywords

cluster tilting subcategoriescotorsion classeshigher homological algebra

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of associative Artinian rings (16G10) Abelian categories, Grothendieck categories (18E10) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Derived categories, triangulated categories (18G80)

Related Items (1)

Higher ideal approximation theory

Cites Work

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• \(n\)-abelian and \(n\)-exact categories
• Cluster tilting for higher Auslander algebras.
• Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories.
• Auslander correspondence.
• \(n\)-cluster tilting subcategories of representation-directed algebras
• \(d\)-abelian quotients of \((d+2)\)-angulated categories
• Flat covers of modules
• Relative homological algebra
• Classification of higher wide subcategories for higher Auslander algebras of type \(A\)
• Higher Auslander correspondence for dualizing \(R\)-varieties
• Approximations and endomorphism algebras of modules.
• Torsion Classes and t-Structures in Higher Homological Algebra
• d-Auslander–Reiten sequences in subcategories
• Higher Auslander’s Formula
• Wide subcategories of 𝑑-cluster tilting subcategories
• Homological and homotopical aspects of torsion theories

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