ABELIAN EXACT SUBCATEGORIES CLOSED UNDER PREDECESSORS

DOI10.1081/AGB-200053949zbMath1130.16011arXivmath/0401113MaRDI QIDQ4681040

Manuel Saorín, Ibrahim Assem

Publication date: 14 June 2005

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

Full work available at URL: https://arxiv.org/abs/math/0401113

zbMATH Keywords

Artin algebrascategories of finitely generated modulesAbelian exact subcategories closed under predecessorsbasic connected right Artinian ringshereditary injective moduleslocal extensions of hereditary algebras

Mathematics Subject Classification ID

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) Abelian categories, Grothendieck categories (18E10) Homological dimension in associative algebras (16E10)

Related Items (4)

Classification of split torsion torsionfree triples in module categories. ⋮ Contravariantly finite subcategories closed under predecessors. ⋮ Torsion pairs over n-hereditary rings ⋮ ARTICULATIONS OF ALGEBRAS AND THEIR HOMOLOGICAL PROPERTIES

Cites Work

• Preprojective modules over Artin algebras
• On Artin algebras with almost all indecomposable modules of projective or injective dimension at most one.
• The left and the right parts of a module category.
• On local-extensions of algebras
• Unnamed Item

This page was built for publication: ABELIAN EXACT SUBCATEGORIES CLOSED UNDER PREDECESSORS