dc.creator | Mendoza Hernández, Octavio | |
dc.creator | Platzeck, Maria Ines | |
dc.date.accessioned | 2020-01-20T23:55:33Z | |
dc.date.accessioned | 2022-10-15T04:02:27Z | |
dc.date.available | 2020-01-20T23:55:33Z | |
dc.date.available | 2022-10-15T04:02:27Z | |
dc.date.created | 2020-01-20T23:55:33Z | |
dc.date.issued | 2003-07 | |
dc.identifier | Mendoza Hernández, Octavio; Platzeck, Maria Ines; Embedding of the vertices of the Auslander-Reiten quiver of an iterated tilted algebra of Dynkin type Δ in ZΔ; Academic Press Inc Elsevier Science; Journal of Algebra; 265; 1; 7-2003; 247-263 | |
dc.identifier | 0021-8693 | |
dc.identifier | http://hdl.handle.net/11336/95361 | |
dc.identifier | CONICET Digital | |
dc.identifier | CONICET | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4343207 | |
dc.description.abstract | Let Δ be a Dynkin diagram and k an algebraically closed field. Let A be an iterated tilted finite-dimensional k-algebra of type Δ and denote by  its repetitive algebra. We approach the problem of finding a combinatorial algorithm giving the embedding of the vertices of the Auslander-Reiten quiver ΓA of A in the Auslander-Reiten quiver Γ(mod(Â)) ≃ ℤΔ of the stable category mod(Â). Let T be a trivial extension of finite representation type and Cartan class Δ. Assume that we know the vertices of ℤΔ corresponding to the radicals of the indecomposable projective T-modules. We determine the embedding of ΓA in ℤΔ for any algebra A such that T(A) ≃ T. | |
dc.language | eng | |
dc.publisher | Academic Press Inc Elsevier Science | |
dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/S0021-8693%2803%2900161-3 | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0021869303001613 | |
dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.subject | Modules | |
dc.subject | Artin algebras | |
dc.title | Embedding of the vertices of the Auslander-Reiten quiver of an iterated tilted algebra of Dynkin type Δ in ZΔ | |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:ar-repo/semantics/artículo | |
dc.type | info:eu-repo/semantics/publishedVersion | |