The group of units of some finite local rings II

Abstract

In [2], we identified the group of units of finite local rings Z4[X]/(Xk + 2Xa, 2Xr) 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. ©2009 The Korean Mathematical Society.