GOLDIE EXTENDING RINGS

In this article, we investigate the G-extending condition under various ring extensions. We show that if RR is G-extending and S is a right essential overring, then S-R and SS are G-extending. For split-null extensions, we show that if M (sic) R and M is left faithful, then RR is (G-) extending if and only if S-S is (G-) extending, where S = S(R, M). This result appears to be new for the extending case. We conclude with results on Dorroh extensions.