On 2-Uniform Ideals and Direct Summands in N-Groups

Abstract

In this paper, we consider N-groups where N is a zero-symmetric right nearring. We define the notion 2-uniform ideal in N-groups and prove some important fundamental results. Further, we obtain some results interconnecting with i- uniform (i = 0, 1) ideals. Finally, we prove that in a special class of nearrings an ideal is 2-uniform if and only if it is 1-uniform.