Extensions of homologically finite subcategories

DOI10.1007/BF01236075zbMath0783.16008OpenAlexW2090520626MaRDI QIDQ689756

Svein A. Sikko, Sverre O. Smalø

Publication date: 15 November 1993

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01236075

zbMATH Keywords

Artin algebracontravariantly finitecontravariantly finite subcategoriescategory of finitely presented modulesextensions of homologically finite subcategoriesfull subcategory

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of associative Artinian rings (16G10) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (4)

Relations for relative Grothendieck groups of rings of finite representation type ⋮ Finitistic dimension conjectures via Gorenstein projective dimension ⋮ ICE-closed subcategories and wide \(\tau \)-tilting modules ⋮ Extensions of covariantly finite subcategories

Cites Work

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• Almost split sequences in subcategories
• Preprojective modules over Artin algebras
• The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences
• Prinjective Modules, Reflection Functors, Quadratic Forms, and Auslander-Reiten Sequences
• Representation theory of artin algebras iii almost split sequences
• Functorial Finite Subcategories Over Triangular Matrix Rings

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