A Note on Finite Number Rings

Suk-Geun Hwang, Woo Jeon, Ki-Bong Nam +1

We define the finite number ring ${\mathbb{Z}}_n[\sqrt[m]{r}]$ where $m,n$ are positive integers and $r$ in an integer akin to the definition of the Gaussian integer $\mathbb{Z}[i]$. Th…