Rings with 2-$\Delta$U property

Omid Hasanzadeh, Ahmad Moussavi, Peter Danchev

Rings in which the square of each unit lies in $1+\Delta (R)$, are said to be $2$-$\Delta U$, where $J(R)\subseteq \Delta (R)=:\{r\in R|r+U(R)\subseteq U(R)\}$. The set $\Delta (R)$ is the largest…