Minimal approximations, orbital elementary modules, and orbit algebras of regular modules

DOI10.1006/jabr.1998.7815zbMath0952.16013OpenAlexW1980871242MaRDI QIDQ1305010

Otto Kerner

Publication date: 10 October 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7815

zbMATH Keywords

hereditary algebrasapproximationswild algebrasfunctorselementary modulescategories of regular modules

Mathematics Subject Classification ID

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) Representations of associative Artinian rings (16G10)

Related Items (4)

Orbit algebras that are invariant under stable equivalences of Morita type. ⋮ Auslander–Reiten Orbit Algebras for Self-Injective Nakayama Algebras ⋮ Quasitilted one-point extensions of wild hereditary algebras ⋮ A new invariant of stable equivalences of Morita type

Cites Work

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• Tame algebras and integral quadratic forms
• Preprojective modules over Artin algebras
• Stable components of wild tilted algebras
• On the perpendicular category of a partial tilting module
• Exceptional components of wild hereditary algebras
• Representations of K-species and bimodules
• Spectral properties of Coxeter transformations and applications
• A functor between categories of regular modules for wild hereditary algebras
• The spectral radius of the Coxeter transformations for a generalized Cartan matrix
• Applications of contravariantly finite subcategories
• Constructing torsion pairs
• Almost Complete Tilting Modules
• Tilting Wild Algebras
• Eigenvalues of Coxeter Transformations and the Gelfand-Kirillov Dimension of the Preprojective Algebras
• Infinite-Dimensional Modules Over Wild Hereditary Algebras
• Representation theory of artin algebras IV¹⁾Invariants given by almost split sequences
• Elementary stones
• Coxeter polynomials and domination of wild quiver algebras
• On splitting torsion theories induced by tilting modules
• Tilting in abelian categories and quasitilted algebras
• Elementary modules

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