Stable components of wild tilted algebras

DOI10.1016/0021-8693(91)90215-TzbMath0737.16007MaRDI QIDQ1178852

Otto Kerner

Publication date: 26 June 1992

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

zbMATH Keywords

torsion classAuslander-Reiten quivertorsion theoryindecomposable moduletilting moduleregular componentsendomorphism algebrapreprojective componenttorsion-free classfinite dimensional connected wild hereditary algebrafinitely generated \(B\)-modulespreinjective direct summandspreprojective direct summandwild concealed connected algebrawild hereditary path algebras

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) Representations of quivers and partially ordered sets (16G20) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Related Items (22)

Perpendicular Categories of Exceptional Vector Bundles on Wild Weighted Projective Lines ⋮ Tilting classes over wild hereditary algebras. ⋮ Cycles of modules and finite representation type ⋮ Selfinjective algebras with hereditary stable slice ⋮ On socle-projective categories and tilting modules ⋮ On algebras of generalized standard semiregular type ⋮ Characterizations of algebras with small homological dimensions. ⋮ Quasitilted extensions of algebras I ⋮ On the number of terms in the middle of almost split sequences over cycle-finite Artin algebras. ⋮ Piecewise hereditary one-point extensions ⋮ Coxeter polynomials and domination of wild quiver algebras ⋮ The representation dimension of a selfinjective algebra of wild tilted type ⋮ Exceptional components of wild hereditary algebras ⋮ Quasi-hereditary algebras and quadratic forms ⋮ On the stable module category of a self-injective algebra ⋮ Elementary modules ⋮ Endomorphism Rings of Regular Modules over Wild Hereditary Algebras ⋮ Tame quasi-tilted algebras ⋮ Minimal approximations, orbital elementary modules, and orbit algebras of regular modules ⋮ On Artin algebras with almost all indecomposable modules of projective or injective dimension at most one. ⋮ Regular stones of wild hereditary algebras ⋮ A functor between categories of regular modules for wild hereditary algebras

Cites Work

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• Tame algebras and integral quadratic forms
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• The regular components of the Auslander-Reiten quiver of a tilted algebra
• Perpendicular categories with applications to representations and sheaves
• Representations of K-species and bimodules
• Tilting Wild Algebras
• Eigenvalues of Coxeter Transformations and the Gelfand-Kirillov Dimension of the Preprojective Algebras
• Tilted Algebras
• On splitting torsion theories induced by tilting modules

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