Semidistributive nearrings with identity

I. Raievska, M. Raievska, Ya. Sysak

Abstract


It is proved that the additive group of every semidistributive nearring \(R\) with an identity is abelian and if \(R\) has no elements of order 2, then the nearring \(R\) actually is an associative ring.

Keywords


nearring, semidistributive nearring, additive group

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DOI: http://dx.doi.org/10.12958/adm2207

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