Exceptional components of wild hereditary algebras

DOI10.1016/0021-8693(92)90095-4zbMath0779.16006OpenAlexW2093651198MaRDI QIDQ1204415

Otto Kerner

Publication date: 29 March 1993

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

Full work available at URL: https://doi.org/10.1016/0021-8693(92)90095-4

zbMATH Keywords

tilting theoryAuslander-Reiten quiverswild hereditary algebrasinfinite radicalregular componentscategory of finitely generated modulesexceptional componentsindecomposable regular modulesquasi-rank

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Representations of orders, lattices, algebras over commutative rings (16G30) 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)

Related Items (15)

The structure and homological properties of generalized standard Auslander-Reiten components ⋮ Exceptional Components ⋮ Tilting classes over wild hereditary algebras. ⋮ Elementary stones ⋮ Dimension vectors with the equal kernels property ⋮ Wild cluster tilted algebras of rank 3. ⋮ Coxeter polynomials and domination of wild quiver algebras ⋮ Representations of regular trees and invariants of AR-components for generalized Kronecker quivers ⋮ Constructing tilting modules ⋮ Quasitilted one-point extensions of wild hereditary algebras ⋮ Elementary modules ⋮ Three lectures on quiver Grassmannians ⋮ Endomorphism Rings of Regular Modules over Wild Hereditary Algebras ⋮ Minimal approximations, orbital elementary modules, and orbit algebras of regular modules ⋮ Regular stones of wild hereditary algebras

Cites Work

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• Indecomposable representations of graphs and algebras

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