EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 95[109], pp. 215–220 (2014)

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UNIT GROUPS OF FINITE RINGS WITH PRODUCTS OF ZERO DIVISORS IN THEIR COEFFICIENT SUBRINGS

Chiteng'a John Chikunji

Department of Basic Sciences, Botswana College of Agriculture, Gaborone, Botswana

Abstract: Let $R$ be a completely primary finite ring with identity $1\neq 0$ in which the product of any two zero divisors lies in its coefficient subring. We determine the structure of the group of units $G_R$ of these rings in the case when $R$ is commutative and in some particular cases, obtain the structure and linearly independent generators of $G_R$.

Keywords: Completely primary finite rings, Galois rings

Classification (MSC2000): 16P10, 16U60; 20K01, 20K25

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Electronic fulltext finalized on: 31 Mar 2014. This page was last modified: 2 Apr 2014.

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