Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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POWERS OF THE AUGMENTATION IDEAL OF A CYCLIC GROUP RING

  • LEE, JOONGUL (Department of Mathematics Education, Hongik University)
  • Received : 2015.03.11
  • Accepted : 2015.04.23
  • Published : 2015.06.25
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Abstract

Let G be a cyclic group of prime power order. There is a natural embedding of $\mathbb{Z}$[G] into a product of rings of integers of cyclotomic fields. In this paper we determine the image of powers of the augmentation ideal.

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References

  1. S. Lang, Algebraic Number Theory, Second edition, Springer-Verlag, New York, 1994.
  2. J. Lee, Characterization of a cyclic group ring in terms of character values, Commun. Korean Math. Soc. 30(1) (2015), 1-5. https://doi.org/10.4134/CKMS.2015.30.1.001