Smarandache Pseudo- Ideals

Abstract

In this paper we study the Smarandache pseudo-ideals of a Smarandache ring. We
prove every ideal is a Smarandache pseudo-ideal in a Smarandache ring but every
Smarandache pseudo-ideal in general is not an ideal. Further we show that every
polynomial ring over a field and group rings FG of the group G over any field are
Smarandache rings. We pose some interesting problems about them.