1Satyanarayana Bhavanari, Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar-522510, India.
2Syam Prasad Kuncham, Department of Mathematics, Manipal Institute of Technology, MAHE Manipal-576104, India.
3Venugopala Rao Paruchuri, Department of Mathematics, Andhra Loyola College (Autonomous), Vijayawada-520008, India.
*E-mail: bhavanari2002@yahoo.co.in
**E-mail: kunchamsyamprasad@gmail.com
***E-mail: venugopalparuchuri@gmail.com
****E-mail: bhavanarim@yahoo.co.in
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.
H– essential ideal, strictly essential ideal, 0–uniform ideal, 1–uniform ideal, 16Y30
