(4). Exchange Morita Rings.

Autores: M. Compañy Cabezos, M. Gómez Lozano and M. Siles Molina. 

Revista: Communications in Algebra. 29(2),  (2001),  907-925.  (JCR: 106 de 161. Factor de impacto: 0.320)

Abstract:In this paper we characterize the largest exchange ideal of a ring $R$ as the set of those elements $x \in R$ such that the local ring of $R$ at $x$ is an exchange ring. We use this result to prove that if  $R$ and $S$ are two rings for which there is a quasi-acceptable Morita context, then $R$ is an exchange ring if and only if $S$ is an exchange ring, extending an analogue result given previously by Ara and the second and  third authors for idempotent rings.