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 Sieno
Primo
;
S. De Stefano
Ultimo
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.
Endomorfismi di q. a. distributivi
Settore MAT/02 - Algebra
1987
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/202139
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