Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지
DOI QR코드

DOI QR Code

AN ANNIHILATOR CONDITION ON MAXIMAL IDEALS OF COMPOSITE HURWITZ RINGS

  • KIM, DONG KYU (Department of Mathematics, College of Natural Sciences, Kyungpook National University) ;
  • LIM, JUNG WOOK (Department of Mathematics, College of Natural Sciences, Kyungpook National University)
  • 투고 : 2019.08.22
  • 심사 : 2019.09.24
  • 발행 : 2020.01.30
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

Let R ⊆ T be an ascending chain of commutative rings with identity and H(R, T) (resp., h(R, T)) the composite Hurwitz series ring (resp., composite Hurwitz polynomial ring). In this article, we give some conditions for the rings H(R, T) and h(R, T) to be PS-rings.

키워드

과제정보

연구 과제 주관 기관 : National Research Foundation of Korea (NRF)

The second author was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2017R1C1B1008085).

참고문헌

  1. A. Benhissi and F. Koja, Basic properties of Hurwitz series rings, Ric. Mat. 61 (2012), 255-273. https://doi.org/10.1007/s11587-012-0128-2
  2. W.F. Keigher, On the ring of Hurwitz series, Comm. Algebra 25 (1997), 1845-1859. https://doi.org/10.1080/00927879708825957
  3. D.K. Kim and J.W. Lim, Composite Hurwitz rings as PF-rings and PP-rings, preprint.
  4. J.W. Lim and D.Y. Oh, Chain conditions on composite Hurwitz series rings, Open Math. 15 (2017), 1161-1170. https://doi.org/10.1515/math-2017-0097
  5. J.W. Lim and D.Y. Oh, Composite Hurwitz rings satisfying the ascending chain condition on principal ideals, Kyungpook Math. J. 56 (2016), 1115-1123. https://doi.org/10.5666/KMJ.2016.56.4.1115
  6. K. Shikishima-Tsuji and M. Katsura, Hypertranscendental elements of a formal power-series ring of positive characteristic, Nagoya Math. J. 125 (1992), 93-103. https://doi.org/10.1017/S0027763000003913