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dc.contributor.author
Chaio, Claudia Alicia
dc.contributor.author
Guazzelli, Victoria Laura
dc.contributor.author
Suarez, Pamela Yael
dc.date.available
2024-01-30T11:40:38Z
dc.date.issued
2023-05
dc.identifier.citation
Chaio, Claudia Alicia; Guazzelli, Victoria Laura; Suarez, Pamela Yael; On the nilpotency index of the radical of a module category; Elsevier Science; Journal Of Pure And Applied Algebra; 227; 5; 5-2023; 1-30
dc.identifier.issn
0022-4049
dc.identifier.uri
http://hdl.handle.net/11336/225155
dc.description.abstract
Let A be a finite dimensional representation-finite algebra over an algebraically closed field. The aim of this work is to determine which vertices of QA are sufficient to be considered in order to compute the nilpotency index of the radical of the module category of A. Precisely, we study the above mentioned problem whenever A is a monomial or a toupie algebra where their Auslander-Reiten quivers are component with length. We also study the above problem for string algebras. We give concrete formulas to compute such index for many classes of algebras such as toupie algebras, tree algebras and some classes of pullback algebras over the hereditary algebras of type An, Dn and E6. Furthermore, we determine the index taking into account the ordinary quiver of the given algebras.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier Science
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.subject
NILPOTENCY INDEX
dc.subject
ONE-POINT EXTENSION ALGEBRAS
dc.subject
PULLBACK ALGEBRAS
dc.subject
RADICAL
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
On the nilpotency index of the radical of a module category
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2024-01-29T15:28:40Z
dc.journal.volume
227
dc.journal.number
5
dc.journal.pagination
1-30
dc.journal.pais
Países Bajos
dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Chaio, Claudia Alicia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Cs.exactas y Naturales. Centro Marplatense de Investigaciones Matematicas.; Argentina
dc.description.fil
Fil: Guazzelli, Victoria Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Cs.exactas y Naturales. Centro Marplatense de Investigaciones Matematicas.; Argentina
dc.description.fil
Fil: Suarez, Pamela Yael. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Cs.exactas y Naturales. Centro Marplatense de Investigaciones Matematicas.; Argentina
dc.journal.title
Journal Of Pure And Applied Algebra
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jpaa.2022.107278
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022404922002766
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