Tame quasi-tilted algebras

DOI10.1006/jabr.1997.7328zbMath0908.16013OpenAlexW2081518996MaRDI QIDQ1266464

Andrzej Skowroński

Publication date: 26 October 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7328

zbMATH Keywords

projective dimensionglobal dimensionAuslander-Reiten quiversinjective dimensioncategories of finite-dimensional modulesstandard componentsconnected quasitilted algebrasindecomposable finite-dimensional modulessemiregular branch enlargementstame quasitilted algebras

Mathematics Subject Classification ID

Related Items (33)

The Krull-Gabriel dimension of cycle-finite Artin algebras ⋮ The structure and homological properties of generalized standard Auslander-Reiten components ⋮ Cycles of modules and finite representation type ⋮ Cluster-tilted and quasi-tilted algebras ⋮ On regularity in codimension one of irreducible components of module varieties. ⋮ Tame algebras and Tits quadratic forms. ⋮ Cycle-finite algebras having finitely many indecomposable modules lying on short paths with injective source and projective target ⋮ A characterization of cycle-finite generalized double tilted algebras. ⋮ On algebras of generalized standard semiregular type ⋮ Characterizations of algebras with small homological dimensions. ⋮ Geometric characterizations of the representation type of hereditary algebras and of canonical algebras. ⋮ Two-sided gluings of tilted algebras. ⋮ On the number of terms in the middle of almost split sequences over cycle-finite Artin algebras. ⋮ Finiteness of the strong global dimension of radical square zero algebras. ⋮ On the indecomposable modules in almost cyclic coherent Auslander-Reiten components. ⋮ On the number of tame concealed convex subcategories in cycle-finite algebras ⋮ On the additive categories of generalized standard almost cyclic coherent Auslander-Reiten components. ⋮ QUASITILTED EXTENSIONS BY NONDIRECTING MODULES ⋮ Algebras with cycle-finite Galois coverings ⋮ Degenerations for indecomposable modules and tame algebras ⋮ On tame algebras of semiregular tubular type ⋮ Finite cycles of indecomposable modules. ⋮ Quasitilted one-point extensions of wild hereditary algebras ⋮ Cycle-Finite Algebras with Finitely Many τ-Rigid Indecomposable Modules ⋮ Auslander–Reiten Theory for Finite-Dimensional Algebras ⋮ Quasitilted extensions of algebras. II. ⋮ On tame strongly simply connected algebras ⋮ Cycle-finite modules over artin algebras ⋮ Geometry of directing modules over tame algebras ⋮ Algebras with separating almost cyclic coherent Auslander-Reiten components. ⋮ Cycle-Finite Module Categories ⋮ Krull dimension of tame generalized multicoil algebras. ⋮ Simply connected tame quasi-tilted algebras

Cites Work

• Tame algebras and integral quadratic forms
• Iterated tubular algebras
• On the representation type of one point extensions of tame concealed algebras
• The regular components of the Auslander-Reiten quiver of a tilted algebra
• Stable components of wild tilted algebras
• On the perpendicular category of a partial tilting module
• Directing modules
• The connected components of the Auslander-Reiten quiver of a tilted algebra
• Artin algebras with directing indecomposable projective modules
• Generalized standard Auslander-Reiten components
• Quasi-tilted algebras of canonical type
• Auslander-Reiten components for concealed-canonical algebras
• Algebras and Quadratic Forms
• Tilting Wild Algebras
• Coxeter Functors Without Diagrams
• Tilted Algebras
• Quasitilted algebras admit a preprojective component
• On the dimension of the module-varieties of tame and weld algebras
• Tilting in abelian categories and quasitilted algebras
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