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Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
eISSN: 2320-3226
pISSN: 0970-6577
Impact Factor: 4.895 (2017)
DOI: 10.5958/2320-3226
Editor-in-Chief:  Prof. Dr. Lalit Mohan Upadhyaya
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Article Details

Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
Year : 2019, Volume & Issue : BPAS-Maths & Stat 38E(2), JUL-DEC 2019
Page No. : 586-591, Article Type : Original Aticle
Article DOI : 10.5958/2320-3226.2019.00059.6 (Communicated, edited and typeset in Latex by Lalit Mohan Upadhyaya (Editor-in-Chief). Received February 14, 2019 / Revised May 28, 2019 / Accepted June 24, 2019. Online First Published on December 24, 2019 )

1− Uniform ideals in N− groups

S. Bhavanari1 , S.P. Kuncham2 , V.R. Paruchuri3 and M. Bhavanari4
Author’s Affiliation : 1. Satyanarayana Bhavanari, Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar-522510, India. 2. Syam Prasad Kuncham, Department of Mathematics, Manipal Institute of Technology, MAHE Manipal-576104, India. 3. Venugopala Rao Paruchuri, Department of Mathematics, Andhra Loyola College (Autonomous), Vijayawada-520008, India. 4. Mallikarjuna Bhavanari, Institute of Energy Engineering, Department of Mechanical Engineering, National Central University Jhongli, Taoyuan, Taiwan-32001, Republic of China. 1. E-mail: [email protected] , 2. E-mail: [email protected] 2. E-mail: [email protected] , 4. E-mail: [email protected]

Corresponding Author : Satyanarayana Bhavanari,
E-Mail:-[email protected]


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.

2010 Mathematics Subject Classification : 16Y30.

Keywords

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