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

UNIT GROUPS OF FINITE RINGS WITH PRODUCTS OF ZERO DIVISORS IN THEIR COEFFICIENT SUBRINGSChiteng'a John ChikunjiDepartment of Basic Sciences, Botswana College of Agriculture, Gaborone, BotswanaAbstract: 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 Full text of the article: (for faster download, first choose a mirror)
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