대한수학회지 (Journal of the Korean Mathematical Society)

  • 제46권3호
  • /
  • Pages.475-491
  • /
  • 2009
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지
DOI QR코드

DOI QR Code

THE GROUP OF UNITS OF SOME FINITE LOCAL RINGS II

  • Woo, Sung-Sik (DEPARTMENT OF MATHEMATICS EWHA WOMEN'S UNIVERSITY)
  • 발행 : 2009.05.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In [2], we identified the group of units of finite local rings $\mathbb{Z}_4[X]$/($X^k+2X^a$, $2X^r$) with certain restrictions on a. In this paper we find direct sum decomposition of the group of units of such rings without restrictions on a into cyclic subgroups by finding their generators. And further generalization is considered.

키워드

참고문헌

  1. Bernard R. McDonald, Finite Rings with Identity, Pure and Applied Mathematics, Vol. 28. Marcel Dekker, Inc., New York, 1974
  2. S. S. Woo, The group of units of some finite local rings I, J. Korean Math. Soc. 46 (2009), no. 2, 295–311 https://doi.org/10.4134/JKMS.2009.46.2.295
  3. S. S. Woo, The group of units of some finite local rings III, J. Korean Math. Soc. 46 (2009), no. 4, 675–689 https://doi.org/10.4134/JKMS.2009.46.4.675

피인용 문헌

  1. THE GROUP OF UNITS OF SOME FINITE LOCAL RINGS III vol.46, pp.4, 2009, https://doi.org/10.4134/JKMS.2009.46.4.675
  2. THE GROUP OF UNITS OF SOME FINITE LOCAL RINGS I vol.46, pp.2, 2009, https://doi.org/10.4134/JKMS.2009.46.2.295