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UNIT GROUPS OF QUOTIENT RINGS OF INTEGERS IN SOME CUBIC FIELDS

  • Received : 2016.12.04
  • Accepted : 2017.06.28
  • Published : 2017.10.31

Abstract

Let $K={\mathbb{Q}}({\alpha})$ be a cubic field where ${\alpha}$ is an algebraic integer such that $disc_K({\alpha})$ is square-free. In this paper we will classify the structure of the unit group of the quotient ring ${\mathcal{O}}_K/A$ for each non-zero ideal A of ${\mathcal{O}}_K$.

Keywords

References

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