THE GROUP OF UNITS OF SOME FINITE LOCAL RINGS II

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

Abstract
In [2], we identified the group of units of finite local rings $\small{\mathbb{Z}_4[X]}$/($\small{X^k+2X^a}$, $\small{2X^r}$) 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.
Keywords
finite local ring;group of units;
Language
English
Cited by
1.
THE GROUP OF UNITS OF SOME FINITE LOCAL RINGS III,;

대한수학회지, 2009. vol.46. 4, pp.675-689
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 III, Journal of the Korean Mathematical Society, 2009, 46, 4, 675
2.
THE GROUP OF UNITS OF SOME FINITE LOCAL RINGS I, Journal of the Korean Mathematical Society, 2009, 46, 2, 295
References
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

3.
S. S. Woo, The group of units of some finite local rings III, J. Korean Math. Soc. 46 (2009), no. 4, 675–689