Abstract (EN):
In this note we answer the question raised by Han et al. in [3] whether an idempotent isomorphic to a semicentral idempotent is itself semicentral. We show that rings with this property are precisely the Dedekind-finite rings. An application to module theory is given.
Idioma:
Inglês
Tipo (Avaliação Docente):
Científica
Nº de páginas:
3