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) 

 

 DOI: https://doi.org/10.58250/Jnanabha.2022.52111


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