1- Uniform ideals in N- groups

摘要

In this paper, we consider N-groups and explore the notions H- essential and strictly essential ideals of an N-group G. We prove the elementary properties of essential ideals and strictly essential ideals which are closed under finite intersections and transitive closures. Further, we study the notions i-uniform (i = 0,1) ideals of an N-group G. We provide necessary examples of each of these notions, and examined the cases wherein these two concepts coincide.