Let G be an N-group where N is a zero symmetric right near-ring. We introduced the concept E-direct system in N-groups and proved that for an N-group G, the following conditions are equivalent : (i) G has finite Goldie dimension; (ii) every E-direct system of non-zero ideals of G is bounded above by a non-essential ideal of G.
|Number of pages||3|
|Journal||Indian Journal of Pure and Applied Mathematics|
|Publication status||Published - 01-12-1998|
All Science Journal Classification (ASJC) codes