1− Uniform ideals in N− groups ∗

S Bhavanari; S P  Kuncham; V R Paruchuri; M Bhavanari

doi:10.48165/

Authors

S Bhavanari Satyanarayana Bhavanari, Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar-522510, India.
S P Kuncham Department of Mathematics, Manipal Institute of Technology, MAHE Manipal-576104, India.
V R Paruchuri Department of Mathematics, Andhra Loyola College (Autonomous), Vijayawada-520008, India.
M Bhavanari Institute of Energy Engineering, Department of Mechanical Engineering, National Central University Jhongli, Taoyuan, Taiwan-32001, Republic of China.

DOI:

https://doi.org/10.48165/

Keywords:

H− essential ideal, strictly essential ideal, 0−uniform ideal, 1−uniform ideal

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.

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