Higher Auslander-Solberg correspondence for exact categories

DOI10.1016/j.jpaa.2023.107603arXiv2207.05547OpenAlexW4390590216MaRDI QIDQ6199067

Jacob Fjeld Grevstad

Publication date: 23 February 2024

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

Full work available at URL: https://arxiv.org/abs/2207.05547

Mathematics Subject Classification ID

Representations of associative Artinian rings (16G10) Homological dimension (category-theoretic aspects) (18G20) Abelian categories, Grothendieck categories (18E10) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Cites Work

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• Cluster tilting for higher Auslander algebras.
• Auslander correspondence.
• Auslander-Gorenstein algebras and precluster tilting
• Auslander's formula and correspondence for exact categories
• Tilting subcategories in extriangulated categories
• Grade, dominant dimension and Gorenstein algebras
• Exact categories
• Relative homology and representation theory 1
• Gorenstein algebras and algebras with dominant dimension at least 2
• Exact categories and vector space categories