A STUDY ON $t^2$-SYMMETRIC RINGS

In this article our attempt is to study the ring theoretic properties of $t^2$-symmetric and strongly rings tripotent elements a ring. Let $R$ be $t$ element $R$, then said if $abc=0$ implies $acbt^2=0$ for all $a,b,c\in R$. It has been proved that only $t^2$ left semicentral $t^2Rt^2$ symmetric We also introduce establish various it.