Directing projective modules

DOI10.1007/BF01198807zbMath0795.16007OpenAlexW2004472761MaRDI QIDQ689723

Dieter Happel, Claus Michael Ringel

Publication date: 17 November 1993

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01198807

zbMATH Keywords

finite dimensional algebrasdirect sumsquiversdirect summandsindecomposable modulesindecomposable projective modulesAuslander-Reiten translaterepresentation-finite algebrasdirecting modulesrepresentation-directed algebrassupport algebras

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of associative Artinian rings (16G10)

Related Items (14)

Supercanonical algebras. ⋮ Some characterisations of supported algebras. ⋮ The fundamental groups of a triangular algebra ⋮ Quasitilted algebras admit a preprojective component ⋮ Quasitilted extensions of algebras I ⋮ Module Categories Without Short Cycles Are of Finite Type ⋮ QUASITILTED EXTENSIONS BY NONDIRECTING MODULES ⋮ ALMOST REGULAR AUSLANDER–REITEN COMPONENTS AND QUASITILTED ALGEBRAS ⋮ Coverings of laura algebras: the standard case. ⋮ An algorithm for finding all preprojective components of the Auslander-Reiten quiver ⋮ On Shod Extensions of Algebras ⋮ On weakly directing modules ⋮ Quasitilted extensions of algebras. II. ⋮ Finite dimensional algebras with vanishing Hochschild cohomology

Cites Work

• Algebras whose Auslander-Reiten quivers have large regular components
• Nonexistent cycles
• Some characterizations of tilted algebras.
• Unnamed Item

This page was built for publication: Directing projective modules