Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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THE GROUP OF UNITS OF SOME FINITE LOCAL RINGS I

  • Woo, Sung-Sik (DEPARTMENT OF MATHEMATICS EWHA WOMEN'S UNIVERSITY)
  • Published : 2009.03.31
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Abstract

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.

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References

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