On 2-Uniform Ideals and Direct Summands in N-Groups
Satyanarayana Bhavanari1, Venugopala Rao Paruchuri2, Syam Prasad Kuncham3, Mallikarjuna Bhavanari4
1Satyanarayana Bhavanari*, Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar, India.
2Venugopala Rao Paruchuri, Department of Mathematics, Andhra Loyola College (Autonomous), Vijayawada, India.
3Syam Prasad Kuncham,Department of Mathematics, Manipal Institute of Technology, MAHE Manipal, India.
4Mallikarjuna Bhavanari, Institute of Energy Engineering, Department of Mechanical Engineering, National Central University Jhongli, Taoyuan, TAIWAN, R.O.C.
Manuscript received on January 05, 2020. | Revised Manuscript received on January 25, 2020. | Manuscript published on January 30, 2020. | PP: 5199-5202 | Volume-8 Issue-5, January 2020. | Retrieval Number: E6896018520/2020©BEIESP | DOI: 10.35940/ijrte.E6896.018520
Open Access | Ethics and Policies | Cite | Mendeley | Indexing and Abstracting
© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: In this paper, we consider N-groups where N is a zero-symmetric right nearring. We define the notion 2-uniform ideal in N-groups and prove some important fundamental results. Further, we obtain some results interconnecting with i- uniform (i = 0, 1) ideals. Finally, we prove that in a special class of nearrings an ideal is 2-uniform if and only if it is 1-uniform.
Keywords: H-Essential Ideal, Strictly Essential Ideal, 0-Uniform Ideal, 1-Uniform Ideal.
Scope of the Article: Smart learning and innovative education systems.