The set of $k$-units modulo $n$

John H. Castillo, Jhony Fernando Caranguay Mainguez

Let $R$ be a ring with identity, $\mathcal{U}(R)$ the group of units of $R$ and $k$ a positive integer. We say that $a\in \mathcal{U}(R)$ is $k$-unit if $a^k=1$. Particularly, if t…