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      https://www.ias.ac.in/article/fulltext/pmsc/128/04/0045

    • Keywords

       

      Hurwitz series; strongly Hopfian ring; radical property

    • Abstract

       

      In this paper, we study some properties of the Hurwitz series ring $H R$ (resp. Hurwitz polynomial ring $h R$), such as the flatness or the faithful flatness of $H R/(f)$ (resp. $h R/(f)$), the strongly Hopfian property and the radical property of $H R$ (resp. $h R$). We give some sufficient and necessary conditions for $H R/(f)$ (resp. $h R/(f)$) to be flat or faithful flat. We also prove that the strongly Hopfian property transfer between$R$ and $H R$ (resp. $h R$), and some radicals of $H R$ can be determined in terms of those of $R$, in case $R$ satisfies some additional conditions.

    • Author Affiliations

       

      LUNQUN OUYANG1 KEXIN ZHENG1 QIONG ZHOU1 YUEMING XIANG2

      1. Department of Mathematics, Hunan University of Science and Technology, Xiangtan 411201, Hunan, People’s Republic of China
      2. Department of Mathematics and Applied Mathematics, Huaihua University, Huaihua 418000, People’s Republic of China
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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