AN ANALYTIC AND COMPARATIVE STUDY OF β1 AND α2 NEAR-RINGS


By

Bhumika Shrimali, Rakeshwar Purohit, Hrishikesh Paliwal and Khemraj Meena

Department of Mathematics & Statistics, M.L. Sukhadia University, Udaipur- 313001, Rajasthan, India

Email:bhumi658@gmail.com, rakeshwarpurohit@gmail.com, hrishikeshramji@gmail.com, khemrajmeena21@yahoo.com

(Received : January 19, 2022; In format : January 28,2022; Revised in final form : March 05,2022)


Abstract

This paper aims to establish the comparative study of β1 and α2 near-rings symmetrically and non-symmetrically. Moreover, some theorems and examples have shown the necessity of the comparative research of near-rings.


Keywords and Phrases: β1 near-ring, α2 near-ring, Idempotent, Nilpotent, near-field.



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