An account on certain annihilating properties in Leavitt path algebras.
| dc.centro | Facultad de Ciencias | es_ES |
| dc.contributor.author | Buhphang, Ardeline Mary | |
| dc.date.accessioned | 2024-06-18T06:47:20Z | |
| dc.date.available | 2024-06-18T06:47:20Z | |
| dc.date.created | 2024-06-14 | |
| dc.date.issued | 2024 | |
| dc.departamento | Álgebra, Geometría y Topología | |
| dc.description.abstract | We present that for any graph E and for a commutative unital ring R, the nil ideals of the Leavitt path algebra LR(E) depend solely only the nil ideals of the ring R. A connection between the Jacobson radical of LR(E) and the Jacobson radical of R is obtained. Further we show that for a nil ideal I of a Leavitt path algebra LR(E) the ideal M2(I) is also nil. Thus obtaining that Leavitt path algebras over arbitrary graphs satisfy the K¨oethe’s conjecture. | es_ES |
| dc.description.sponsorship | Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech. | es_ES |
| dc.identifier.uri | https://hdl.handle.net/10630/31639 | |
| dc.language.iso | eng | es_ES |
| dc.relation.eventdate | Julio de 2024 | es_ES |
| dc.relation.eventplace | Málaga, España. | es_ES |
| dc.relation.eventtitle | Conferencia de la profesora Ardeline Mary Buhphang | es_ES |
| dc.rights.accessRights | open access | es_ES |
| dc.subject | Anillos (Álgebra) | es_ES |
| dc.subject | Álgebra | es_ES |
| dc.subject.other | Leavitt path algebra | es_ES |
| dc.subject.other | Nil ideal | es_ES |
| dc.subject.other | Jacobson radical | es_ES |
| dc.title | An account on certain annihilating properties in Leavitt path algebras. | es_ES |
| dc.type | conference output | es_ES |
| dspace.entity.type | Publication |
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