Mostrar el registro sencillo del ítem

dc.contributor.authorKanuni Er, Muge
dc.date.accessioned2017-04-04T06:18:34Z
dc.date.available2017-04-04T06:18:34Z
dc.date.created2017
dc.date.issued2017-04-04
dc.identifier.urihttp://hdl.handle.net/10630/13414
dc.description.abstractDuring the 2015 CIMPA Research School in Turkey on “Leavitt path algebras and graph C*-algebras”, Astrid an Huef raised the question whether the statement: For a given graph E, every (closed) ideal I of C*(E) is the intersection of all the primitive/prime ideals containing I is true for ideals of Leavitt path algebras. We first construct examples showing that this statement does not hold in general for Leavitt path algebras, and then prove that, every ideal of the Leavitt path algebra is an intersection of primitive/prime ideals if and only if the graph E satisfies Condition (K). We examine the uniqueness of factorizing a graded ideal as a product of prime ideals. If I is a graded ideal and I is the intersection of ideals P1, ..., Pn, (we say that it is a factorization of I) as an irredundant product of prime ideals Pi, then necessarily all the ideals Pi must be graded ideals and I is the product of all of them. We get a weaker version of this result for non-graded ideals. Finally, powers of an ideal I are studied. While I2 = I for any graded ideal I, for a non-graded ideal I, all In are non-graded and distinct, but the intersection of all the powers of I is a graded ideal which is the largest graded ideal contained in I. Hence, this intersection is 0 if and only if I contains no vertices. (This is joint work with S. Esin and K.M. Rangaswamy)es_ES
dc.description.sponsorshipUniversidad de Málaga. Campus de Excelencia Internacional Andalucía Tech.es_ES
dc.language.isoenges_ES
dc.rightsinfo:eu-repo/semantics/openAccesses_ES
dc.subjectÁlgebra lineales_ES
dc.subject.otherLeavitt path algebraes_ES
dc.titleOn intersections of ideals of Leavitt path algebrases_ES
dc.typeinfo:eu-repo/semantics/conferenceObjectes_ES
dc.centroFacultad de Cienciases_ES
dc.relation.eventtitleConferenciaes_ES
dc.relation.eventplaceMálagaes_ES
dc.relation.eventdate5 de abril de 2017es_ES
dc.cclicenseby-nc-ndes_ES


Ficheros en el ítem

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem