International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 4, Pages 92890, 7 p.
doi:10.1155/IJMMS/2006/92890
Reduced p.p.-rings without identity.
Xiaojiang Guo1
and K.P. Shum2
1Department of Mathematics, Jiangxi Normal University, Nanchang, Jiangxi 330027, China
2Faculty of Science, The Chinese University of Hong Kong, Shatin, Hong Kong
Abstract
We give some necessary and sufficient conditions for p.p.-rings without identity to be reduced. Our results strengthen and extend the results of Fraser and Nicholson as well as some recent results we obtained on reduced p.p.-rings with identity.