The strong simple connectedness of a tame tilted algebra

DOI10.1080/00927870008826913zbMath0960.16017OpenAlexW2047496649MaRDI QIDQ4947098

Shiping Liu, Ibrahim Assem, José Antonio de la Peña

Publication date: 22 June 2000

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

Full work available at URL: https://doi.org/10.1080/00927870008826913

zbMATH Keywords

simply connected algebrastame algebrastilted algebrasseparation conditionconcealed algebrasfinite dimensional basic algebrasconvex subcategories

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Module categories in associative algebras (16D90) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70)

Related Items

The Simple Connectedness of a Tame Weakly Shod Algebra ⋮ Tilt-Critical Algebras of Tame Type ⋮ The simple connectedness of a tame tilted algebra. ⋮ The strong simple connectedness of tame algebras with separating almost cyclic coherent Auslander-Reiten components ⋮ Simply connected tame quasi-tilted algebras

Cites Work

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• Tilted algebras and generalized standard Auslander-Reiten components
• Covering spaces in representation-theory
• Strongly simply connected algebras
• Finite dimensional algebras with vanishing Hochschild cohomology
• The connected components of the Auslander-Reiten quiver of a tilted algebra
• Tame algebras with sincere directing modules
• Tilting Wild Algebras
• On Simply Connected Algebras