Korean J. Math. Vol. 32 No. 1 (2024) pp.97-107
DOI: https://doi.org/10.11568/kjm.2024.32.1.97

Factorization properties on the composite Hurwitz rings

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Published: Mar 30, 2024
Keywords:
Composite Hurwitz rings, unique factorization domain, bounded factorization domain, finite factorization domain
Mathematics Subject Classification:
13A05, 13A15, 13E05, 13F15

Main Article Content

Dong Yeol Oh
Department of Mathematics Education, Chosun University, Gwangju 61452, Republic of Korea

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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This work is licensed under a Creative Commons Attribution-NonCommercial 3.0 Unported License.

Supporting Agencies

This study was supported by research fund from Chosun University (F206889001).

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