GOLDIE EXTENDING RINGS
COMMUNICATIONS IN ALGEBRA, cilt.40, sa.2, ss.423-428, 2012 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 40 Sayı: 2
- Basım Tarihi: 2012
- Doi Numarası: 10.1080/00927872.2010.529096
- Dergi Adı: COMMUNICATIONS IN ALGEBRA
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.423-428
- Hacettepe Üniversitesi Adresli: Evet
Özet
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.