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http://dx.doi.org/10.4134/JKMS.2009.46.3.475

THE GROUP OF UNITS OF SOME FINITE LOCAL RINGS II  

Woo, Sung-Sik (DEPARTMENT OF MATHEMATICS EWHA WOMEN'S UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.46, no.3, 2009 , pp. 475-491 More about this Journal
Abstract
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.
Keywords
finite local ring; group of units;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
Times Cited By Web Of Science : 1  (Related Records In Web of Science)
Times Cited By SCOPUS : 2
연도 인용수 순위
1 S. S. Woo, The group of units of some finite local rings III, J. Korean Math. Soc. 46 (2009), no. 4, 675–689   DOI
2 Bernard R. McDonald, Finite Rings with Identity, Pure and Applied Mathematics, Vol. 28. Marcel Dekker, Inc., New York, 1974
3 S. S. Woo, The group of units of some finite local rings I, J. Korean Math. Soc. 46 (2009), no. 2, 295–311   과학기술학회마을   DOI   ScienceOn