1− Uniform ideals in N − groups

Abstract

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.