The group of units of some finite local rings III

Sung Sik Woo

doi:10.4134/JKMS.2009.46.4.675

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J. Korean Math. Soc. 2009; 46(4): 675-689

Printed July 1, 2009

https://doi.org/10.4134/JKMS.2009.46.4.675

The group of units of some finite local rings III

Sung Sik Woo

Ewha Women's University

Abstract

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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 $\mathbb Z_4[X]/(X^k+2t(X),2X^r)$ which is the most general type of finite local rings with a single nilpotent generator over $\mathbb Z_4$.

Keywords: finite local ring, group of units

MSC numbers: 13C12