Reduced p.p.-rings without identity

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.

Detalles Bibliográficos
Main Authors: Xiaojiang Guo, K. P. Shum
Formato: Artigo
Idioma:English
Publicado: Wiley 2006-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Acceso en liña:http://dx.doi.org/10.1155/IJMMS/2006/92890
Descripción
Summary: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.
ISSN:0161-1712
1687-0425