Journal of the
Korean Mathematical Society JKMS

The purpose of this paper is to identify the group of units of finite local rings of the types $\mathbb F_2[X]/(X^k)$ and $\mathbb Z_4[X]/I$, where $I$ is an ideal. It turns out that they are 2-groups and we give explicit direct sum decomposition into cyclic subgroups of 2-power order and their generators.

Keywords: finite local ring, group of units

MSC numbers: 13C12