The Preprojective Partition for Hereditary Artin Algebras

DOI10.2307/1999513zbMath0498.16028OpenAlexW4243336730MaRDI QIDQ3963179

Dan Zacharia

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/1999513

zbMATH Keywords

annihilatorsfinite representation typecomposition factorsirreducible morphismsDynkin diagrammpreinjective partitionshereditary artin algebraindecomposable artin algebralength of indecomposable modulepreprojective partion

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Artinian rings and modules (associative rings and algebras) (16P20) Representation theory of associative rings and algebras (16Gxx)

Related Items (10)

On the radical of cluster tilted algebras ⋮ Almost split sequences arising from the preprojective partition ⋮ On the radical of the module category of an endomorphism algebra ⋮ On the nilpotency index of the radical of a module category ⋮ Preprojective partitions for selfinjective algebras ⋮ A Note on Preprojective Partitions Over Hereditary Artin Algebras ⋮ Preprojective Partitions and the Determinant of the Hom Matrix ⋮ On the Auslander-Reiten quiver of a \({\mathcal P}_1\)-hereditary Artin algebra ⋮ On the degree in categories of complexes of fixed size ⋮ Preprojective partitions for trivial extensions of hereditary algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Preprojective modules over Artin algebras
• Preprojective partitions for selfinjective algebras
• Coxeter Functors Without Diagrams
• Representation theory of artin algebras VI: A functorial approach to aimost split sequences
• A Note on Preprojective Partitions Over Hereditary Artin Algebras
• Indecomposable representations of graphs and algebras
• Representation theory of artin algebras iii almost split sequences
• The Equivalence of Certain Functors Occurring in the Representation Theory of Artin Algebras and Species
• Representation theory of artin algebras IV¹⁾Invariants given by almost split sequences
• Representation theory of artin algebras v: methods for computing aimost split sequences and irreducible morphisms
• Preprojective partitions for trivial extensions of hereditary algebras

This page was built for publication: The Preprojective Partition for Hereditary Artin Algebras