Geodesic
Unit Groups of Finite Rings with Products of Zero Divisors in Their Coefficient Subrings
Publications de l'Institut Mathématique, _N_S_95 (2014) no. 109, p. 215

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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 $G_R$.
Classification : 16P10 16U60 20K01 20K25
Keywords: Completely primary finite rings, Galois rings 
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     author = {Chiteng and a John Chikunji},
     title = {Unit {Groups} of {Finite} {Rings} with {Products} of {Zero} {Divisors} in {Their} {Coefficient} {Subrings}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {215 },
     publisher = {mathdoc},
     volume = {_N_S_95},
     number = {109},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_2014_N_S_95_109_a15/}
}
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Chiteng; a John Chikunji. Unit Groups of Finite Rings with Products of Zero Divisors in Their Coefficient Subrings. Publications de l'Institut Mathématique, _N_S_95 (2014) no. 109, p. 215 . http://geodesic.mathdoc.fr/item/PIM_2014_N_S_95_109_a15/