Components of Auslander-Reiten quivers with only preprojective modules

DOI10.1006/jabr.1993.1111zbMath0793.16008OpenAlexW2039211219MaRDI QIDQ2367189

Flávio Ulhoa Coelho

Publication date: 17 August 1993

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

Full work available at URL: https://doi.org/10.1006/jabr.1993.1111

zbMATH Keywords

Auslander-Reiten quiversArtin algebraspreprojective modulesconnected componentindecomposablespreprojective component\(\pi\)- components

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of associative Artinian rings (16G10)

Related Items (12)

On generalized standard Auslander-Reiten components having only finitely many non-directing modules. ⋮ Glueings of tilted algebras ⋮ Artin algebras with only preprojective or preinjective modules are of finite type ⋮ Two-sided gluings of tilted algebras. ⋮ Almost laura algebras. ⋮ On the number of indecomposable modules of infinite projective dimension ⋮ Relative degrees of irreducible morphisms. ⋮ Preprojective Modules and Auslander-Reiten Components ⋮ On the Postprojective Partitions and Components of the Auslander-Reiten Quivers ⋮ ARTICULATIONS OF ALGEBRAS AND THEIR HOMOLOGICAL PROPERTIES ⋮ On the Auslander-Reiten quiver of a \({\mathcal P}_1\)-hereditary Artin algebra ⋮ Organising the module category

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