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Prime and semiprime rings with symmetric skew 3-derivations

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Abstract

In this paper we introduce the notion of symmetric skew 3-derivations of prime or semiprime rings and prove that under certain conditions a prime ring with a nonzero symmetric skew 3-derivation has to be commutative.

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  1. Faculty of Management, University of Primorska, Cankarjeva 5, 6104, Koper, Slovenia

    Ajda Fošner

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  1. Ajda Fošner
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Correspondence to Ajda Fošner.

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Fošner, A. Prime and semiprime rings with symmetric skew 3-derivations. Aequat. Math. 87, 191–200 (2014). https://doi.org/10.1007/s00010-013-0208-8

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  • DOI: https://doi.org/10.1007/s00010-013-0208-8

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