On the radical of the module category of an endomorphism algebra

dc.creatorChaio, Claudia Alicia
dc.creatorGuazzelli, Victoria Laura
dc.date.accessioned2022-09-20T17:57:44Z
dc.date.accessioned2022-10-15T16:34:46Z
dc.date.available2022-09-20T17:57:44Z
dc.date.available2022-10-15T16:34:46Z
dc.date.created2022-09-20T17:57:44Z
dc.date.issued2020-06
dc.identifierChaio, Claudia Alicia; Guazzelli, Victoria Laura; On the radical of the module category of an endomorphism algebra; Springer; Algebras and Representation Theory; 23; 3; 6-2020; 1159-1175
dc.identifier1386-923X
dc.identifierhttp://hdl.handle.net/11336/169643
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4409892
dc.description.abstractGiven a finite dimensional algebra A over an algebraically closed field we study the relationship between the powers of the radical of a morphism in the module category of the algebra A and the induced morphism in the module category of the endomorphism algebra of a tilting A-module. We compare the nilpotency indices of the radical of the mentioned module categories. We find an upper bound for the nilpotency index of the radical of the module category of iterated tilted algebras of Dynkin type.
dc.languageeng
dc.publisherSpringer
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://link.springer.com/10.1007/s10468-019-09874-8
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10468-019-09874-8
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectDEGREES
dc.subjectIRREDUCIBLE MORPHISMS
dc.subjectRADICAL
dc.subjectTILTING MODULE
dc.titleOn the radical of the module category of an endomorphism algebra
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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