Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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THE GROUP OF UNITS OF SOME FINITE LOCAL RINGS III

  • Woo, Sung-Sik (DEPARTMENT OF MATHEMATICS EWHA WOMEN'S UNIVERSITY)
  • Published : 2009.07.01
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Abstract

As a sequel to the papers [2, 3], we will complete our identification of the groups of units of the finite local rings $\mathbb{Z}_4$[X]/($X^k$ + 2t(X), $2X^{\gamma}$) which is the most general type of finite local rings with a single nilpotent generator over $\mathbb{Z}_4$.

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References

  1. B. 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 II, J. Korean Math. Soc. 46 (2009), no. 3, 475–491 https://doi.org/10.4134/JKMS.2009.46.3.475

Cited by

  1. 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