Uniform elements in N-groups [Articol]

Abstract

A zero-symmetric right nearring N is studied. We study relative essential ideal and relative uniform ideal in module over a matrix nearring corresponding to those in N-group (over itself). We explore the properties that show interplay between the ideals of N-group (act on itself) and Nn (over Mn(N)). Finally, we show that the finite Goldie dimension (f:G:d:) with respect to relative uniform ideal of NN is equal to that of Mn(N)-group Nn.