Abstract
The purpose of this paper is to identify the group of units of finite local rings of the types <TEX>${\mathbb{F}}_2[X]/(X^k)$</TEX> and <TEX>${\mathbb{Z}}_4[X]/I$</TEX>, 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.
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