Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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FACTORIZATION PROPERTIES ON THE COMPOSITE HURWITZ RINGS

  • Dong Yeol Oh (Department of Mathematics Education, Chosun University)
  • Received : 2023.10.25
  • Accepted : 2024.01.04
  • Published : 2024.03.30
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Abstract

Let A ⊆ B be an extension of integral domains with characteristic zero. Let H(A, B) and h(A, B) be rings of composite Hurwitz series and composite Hurwitz polynomials, respectively. We simply call H(A, B) and h(A, B) composite Hurwitz rings of A and B. In this paper, we study when H(A, B) and h(A, B) are unique factorization domains (resp., GCD-domains, finite factorization domains, bounded factorization domains).

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Acknowledgement

We would like to thank the referees for several valuable suggestions.

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