Further results on the reverse order law for the group inverse in rings

In this paper, we use the Drazin inverse to derive some new equivalences of the reverse order law for the group inverse in unitary rings. Moreover, if the ring has an involution, we present more equivalences when both involved elements are EP. 2013 Elsevier Inc. All rights reserved.

Detalles Bibliográficos
Autores: Liu, Xiaoji, Zhang, Miao, Benítez López, Julio|||0000-0002-3222-3036
Tipo de recurso: artículo
Fecha de publicación:2014
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:10251/52264
Acceso en línea:https://riunet.upv.es/handle/10251/52264
Access Level:acceso abierto
Palabra clave:Group inverse
Drazin inverse
Moore-Penrose inverse
Reverse order law
MATEMATICA APLICADA
Descripción
Sumario:In this paper, we use the Drazin inverse to derive some new equivalences of the reverse order law for the group inverse in unitary rings. Moreover, if the ring has an involution, we present more equivalences when both involved elements are EP. 2013 Elsevier Inc. All rights reserved.