THE GROUP OF UNITS OF SOME FINITE LOCAL RINGS III

Title & Authors
THE GROUP OF UNITS OF SOME FINITE LOCAL RINGS III
Woo, Sung-Sik;

Abstract
As a sequel to the papers [2, 3], we will complete our identification of the groups of units of the finite local rings $\small{\mathbb{Z}_4}$[X]/($\small{X^k}$ + 2t(X), $\small{2X^{\gamma}}$) which is the most general type of finite local rings with a single nilpotent generator over $\small{\mathbb{Z}_4}$.
Keywords
finite local ring;group of units;
Language
English
Cited by
1.
THE GROUP OF UNITS OF SOME FINITE LOCAL RINGS II,;

대한수학회지, 2009. vol.46. 3, pp.475-491
2.
THE GROUP OF UNITS OF SOME FINITE LOCAL RINGS I,;

대한수학회지, 2009. vol.46. 2, pp.295-311
1.
THE GROUP OF UNITS OF SOME FINITE LOCAL RINGS I, Journal of the Korean Mathematical Society, 2009, 46, 2, 295
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

3.
S. S.Woo, The group of units of some finite local rings II, J. Korean Math. Soc. 46 (2009), no. 3, 475–491