TY - JOUR
T1 - Local rings of exchange rings
AU - Ara, Pere
AU - Gómez Lozano, Miguel
AU - Siles Molina, Mercedes
PY - 1998/1/1
Y1 - 1998/1/1
N2 - We characterize the exchange property for non-unital rings in terms of their local rings at elements, and we use this characterization to show that the exchange property is Morita invariant for idempotent rings. We also prove that every ring contains a greatest exchange ideal (with respect to the inclusion). Copyright © 1998 by Marcel Dekker, Inc.
AB - We characterize the exchange property for non-unital rings in terms of their local rings at elements, and we use this characterization to show that the exchange property is Morita invariant for idempotent rings. We also prove that every ring contains a greatest exchange ideal (with respect to the inclusion). Copyright © 1998 by Marcel Dekker, Inc.
U2 - https://doi.org/10.1080/00927879808826405
DO - https://doi.org/10.1080/00927879808826405
M3 - Article
SN - 0092-7872
VL - 26
SP - 4191
EP - 4205
JO - Communications in Algebra
JF - Communications in Algebra
ER -