Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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A Note on Gaussian Series Rings

  • Kim, Eun Sup (Department of Mathematics, Kyungpook National University) ;
  • Lee, Seung Min (Department of Mathematics, Kyungpook National University) ;
  • Lim, Jung Wook (Department of Mathematics, Kyungpook National University)
  • Received : 2017.05.02
  • Accepted : 2017.08.02
  • Published : 2017.10.23
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Abstract

In this paper, we define a new kind of formal power series rings by using Gaussian binomial coefficients and investigate some properties. More precisely, we call such a ring a Gaussian series ring and study McCoy's theorem, Hermite properties and Noetherian properties.

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References

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