The special elements in a ring related to the Drazin inverses

In this article, the existence of the Drazin (group) inverse of an element a in a ring is analysed when amk ¼ kan , for some unit k and m, n 2 N. The same problem is studied for the case when a* ¼ kamk1 and for the {k, s þ 1}- potent elements. In addition, relationships with other special elements o...

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Detalles Bibliográficos
Autores: Lebtahi Ep-Kadi-Hahifi, Leila, Patrício, Pedro, Thome, Néstor|||0000-0001-5328-6637
Tipo de recurso: artículo
Fecha de publicación:2013
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/60175
Acceso en línea:https://riunet.upv.es/handle/10251/60175
Access Level:acceso abierto
Palabra clave:Involutory element
Power
Ring
Drazin inverse
MATEMATICA APLICADA
Descripción
Sumario:In this article, the existence of the Drazin (group) inverse of an element a in a ring is analysed when amk ¼ kan , for some unit k and m, n 2 N. The same problem is studied for the case when a* ¼ kamk1 and for the {k, s þ 1}- potent elements. In addition, relationships with other special elements of the ring are also obtained.