Some remarks on homologically finite subcategories

DOI10.1007/s40590-017-0174-6zbMath1414.16013OpenAlexW2735323937MaRDI QIDQ2419422

Jesús Efrén Pérez Terrazas, Alejandro Waldemar Cobá Magaña, Sergio Santiago Chan Castro

Publication date: 13 June 2019

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-017-0174-6

zbMATH Keywords

contravariantly finitealmost split sequencecovariantly finitefunctorially finitealmost split morphismhomologically finite

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Homological dimension (category-theoretic aspects) (18G20)

Cites Work

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• Existence of Auslander-Reiten sequences in subcategories.
• Preprojective modules over Artin algebras
• Approximations and almost split sequences in homologically finite subcategories
• Computation of almost split sequences with applications to relatively projective and prinjective modules.
• Applications of contravariantly finite subcategories
• Almost split sequences and approximations
• Finite Projectivity and Contravariant Finiteness

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