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On skew-commuting mappings in semiprime rings

In: Mathematica Slovaca, vol. 66, no. 4
Maja Fošner - Benjamin Marcen - N. Rehman

Details:

Year, pages: 2016, 811 - 814
Keywords:
prime ring, semiprime ring, additive mapping, derivation, commuting mapping, centralizing mapping, skew-commuting mapping, functional identities
About article:
In this paper we prove the following result. Let $R$ be a $n!$-torsion free semiprime ring and let $f:R\rightarrow R$ be an additive mapping satisfying the relation $f(x)xn + xnf(x)=0$ for all $x\in R$. In this case $f=0$.
How to cite:
ISO 690:
Fošner, M., Marcen, B., Rehman, N. 2016. On skew-commuting mappings in semiprime rings. In Mathematica Slovaca, vol. 66, no.4, pp. 811-814. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0183

APA:
Fošner, M., Marcen, B., Rehman, N. (2016). On skew-commuting mappings in semiprime rings. Mathematica Slovaca, 66(4), 811-814. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0183
About edition:
Published: 1. 8. 2016