A Note on Preprojective Partitions Over Hereditary Artin Algebras

DOI10.2307/2044057zbMath0494.16013OpenAlexW4242848272MaRDI QIDQ3957095

Gordana Todorov

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/2044057

zbMATH Keywords

almost split sequencesindecomposable projective modulesirreducible mapsartin algebrapreprojective partitionhereditary artin algebracategory of finitely generated indecomposable right modules

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Free, projective, and flat modules and ideals in associative algebras (16D40) Artinian rings and modules (associative rings and algebras) (16P20) Representation theory of associative rings and algebras (16Gxx)

Related Items (7)

Morphisms between preprojective modules over hereditary artin algebras ⋮ Almost split sequences arising from the preprojective partition ⋮ A generalization of todorov's theorem on preprojective partitions ⋮ Preprojective Partitions and the Determinant of the Hom Matrix ⋮ The Preprojective Partition for Hereditary Artin Algebras ⋮ On the Auslander-Reiten quiver of a \({\mathcal P}_1\)-hereditary Artin algebra ⋮ Preprojective partitions for trivial extensions of hereditary algebras

Cites Work

• Unnamed Item
• Preprojective modules over Artin algebras
• The Preprojective Partition for Hereditary Artin Algebras
• Representation theory of artin algebras IV¹⁾Invariants given by almost split sequences

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