Auslander–Reiten sequences

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs almost split sequences
gptkbp:appearsIn homological algebra
representation theory of finite-dimensional algebras
gptkbp:characterizedBy almost split property
gptkbp:describes irreducible morphisms between modules
gptkbp:field representation theory
https://www.w3.org/2000/01/rdf-schema#label Auslander–Reiten sequences
gptkbp:importantFor classification of indecomposable modules
gptkbp:introducedIn 1970s
gptkbp:namedAfter gptkb:Idun_Reiten
gptkb:Maurice_Auslander
gptkbp:relatedTo gptkb:Auslander–Reiten_theory
gptkb:Auslander–Reiten_quiver
gptkbp:usedIn module theory
study of Artin algebras
gptkbp:bfsParent gptkb:Auslander–Reiten_theory
gptkbp:bfsLayer 7