There exist many examples of distributive near-rings such that their square generates a minimal left N-subgroup of N. Here it is shown that a near-ring belongs to this class if and only if it is the semi-direct sum of a zero near-ring and a skew-field.
Distributive near-rings with minimal square / S. Di Sieno, S. De Stefano. - 1987:C(1987), pp. 59-62. ((Intervento presentato al convegno 9th International Conference on Near-rings and Near-fields tenutosi a Oberwolfbach nel 1987 [10.1016/S0304-0208(08)72287-4].
Distributive near-rings with minimal square
S. Di SienoPrimo
;S. De StefanoUltimo
1987
Abstract
There exist many examples of distributive near-rings such that their square generates a minimal left N-subgroup of N. Here it is shown that a near-ring belongs to this class if and only if it is the semi-direct sum of a zero near-ring and a skew-field.
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