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dc.contributor.author
Chaio, Claudia Alicia
dc.contributor.author
Guazzelli, Victoria Laura
dc.date.available
2024-01-15T15:59:39Z
dc.date.issued
2022-07
dc.identifier.citation
Chaio, Claudia Alicia; Guazzelli, Victoria Laura; On the radical of Cluster tilted algebras; Springer; European Journal of Mathematics; 8; 2; 7-2022; 640-654
dc.identifier.issn
2199-675X
dc.identifier.uri
http://hdl.handle.net/11336/223638
dc.description.abstract
We determine the minimal lower bound n, with n⩾ 1 , where the n-th power of the radical of the module category of a representation-finite cluster tilted algebra vanishes. We give such a bound in terms of the number of vertices of the underline quiver. Consequently, we get the nilpotency index of the radical of the module category for representation-finite self-injective cluster tilted algebras. We also study the non-zero composition of m, m⩾ 2 , irreducible morphisms between indecomposable modules in representation-finite cluster tilted algebras lying in the (m+1)-th power of the radical of their module category.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
INJECTIVE HULL
dc.subject
IRREDUCIBLE MORPHISM
dc.subject
PROJECTIVE COVER
dc.subject
RADICAL
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
On the radical of Cluster tilted algebras
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2024-01-12T15:34:39Z
dc.journal.volume
8
dc.journal.number
2
dc.journal.pagination
640-654
dc.journal.pais
Suiza
dc.journal.ciudad
Suiza
dc.description.fil
Fil: Chaio, Claudia Alicia. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; Argentina
dc.description.fil
Fil: Guazzelli, Victoria Laura. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; Argentina
dc.journal.title
European Journal of Mathematics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s40879-021-00514-4
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s40879-021-00514-4
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