Morphisms between preprojective modules over hereditary artin algebras

DOI10.1080/00927878308822838zbMath0503.16023OpenAlexW2126208142MaRDI QIDQ3969088

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Publication date: 1983

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

Full work available at URL: https://doi.org/10.1080/00927878308822838

zbMATH Keywords

indecomposable projective moduleshereditary algebrairreducible morphismpreprojective partitionCoxeter functorextended Dynkin graphscategory of finitely generated indecomposable left modules

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Free, projective, and flat modules and ideals in associative algebras (16D40) Automorphisms and endomorphisms (16W20) Artinian rings and modules (associative rings and algebras) (16P20) Representation theory of associative rings and algebras (16Gxx)

Related Items (1)

Preprojective Partitions and the Determinant of the Hom Matrix

Cites Work

• Preprojective modules over Artin algebras
• Representation theory of artin algebras VI: A functorial approach to aimost split sequences
• A Note on Preprojective Partitions Over Hereditary Artin Algebras
• Representation theory of artin algebras iii almost split sequences
• 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

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