The group of units of some finite local rings II

Sung Sik Woo

doi:10.4134/JKMS.2009.46.3.475

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J. Korean Math. Soc. 2009; 46(3): 475-491

Printed May 1, 2009

https://doi.org/10.4134/JKMS.2009.46.3.475

The group of units of some finite local rings II

Sung Sik Woo

Ewha Women's University

Abstract

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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

MSC numbers: 13C12