Quasitilted algebras admit a preprojective component

DOI10.1090/S0002-9939-97-03697-6zbMath0880.16006OpenAlexW1502445591MaRDI QIDQ4336581

Flávio Ulhoa Coelho, Dieter Happel

Publication date: 13 May 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03697-6

zbMATH Keywords

finite dimensional algebrasAuslander-Reiten quiversshort cycleshereditary Abelian categoriestilting objectsquasi-tilted algebraspreprojective componentscategories of finite dimensional right modules

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)

Related Items

Schurian‐finiteness of blocks of type A$A$ Hecke algebras ⋮ Characterizations of algebras with small homological dimensions. ⋮ Quasitilted extensions of algebras I ⋮ Tame quasi-tilted algebras ⋮ Quasitilted extensions of algebras. II. ⋮ Report on the finiteness of silting objects ⋮ Simply connected tame quasi-tilted algebras

Cites Work

• Directing projective modules
• Tame algebras and integral quadratic forms
• A criterion for finite representation type
• On the perpendicular category of a partial tilting module
• On the existence of postprojective components in the Auslander-Reiten quiver of an algebra
• Tilting in abelian categories and quasitilted algebras
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