Dept. of Mathematics, Sardar Patel University of Police, Security and Criminal Justice, Vigyan Nagar-342037, Jodhpur (Rajasthan), E-mail: skpandey12@gmail.com
AMS Subject classification: 16U99, 16E50, 16W10
In this paper we prove that if R is a weakly tripotent ring without non-trivial central nilpotent elements of even characteristic not exceeding eight, then the characteristic of R need not be two and R/J(R) need not be Boolean.
These findings improve the results of existing mathematical literature [1].
Weakly tripotent ring, Jacobson radical, Boolean ring
