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Orthogonal generalized (σ, τ)-derivations of semiprime rings

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Abstract

This paper abstracts some results of M. Bresar and J. Vukman [1] on the orthogonal derivations of semiprime rings to (σ, τ)-derivations and generalized (σ, τ)-derivations.

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References

  1. Bresar M. and Vukman J., “Orthogonal derivations and extension of a theorem of Posner,” Rad. Mat., 5, 237–246 (1989).

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  2. Bresar M., “On the distance of the composition of two derivations to the generalized derivations,” Glasgow Math. J., 33, 89–93 (1991).

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  3. Posner E. C., “Derivations in prime rings,” Proc. Amer. Math. Soc., 8, 1093–1100 (1957).

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  4. Argaç N., Atsushi N., and Albaş E., “On orthogonal generalized derivations of semiprime rings,” Turkish J. Math., 28, 185–194 (2004).

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Authors and Affiliations

  1. Cumhuriyet University, Sivas, Turkey

    Oznur Gölbaşi

  2. Çanakkale 18 Mart University, Çanakkale, Turkey

    Neşet Aydin

Authors
  1. Oznur Gölbaşi
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  2. Neşet Aydin
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Correspondence to Oznur Gölbaşi.

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Original Russian Text Copyright © 2007 Gölbaşi Ö. and Aydin N.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 48, No. 6, pp. 1222–1227, November–December, 2007.

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Gölbaşi, O., Aydin, N. Orthogonal generalized (σ, τ)-derivations of semiprime rings. Sib Math J 48, 979–983 (2007). https://doi.org/10.1007/s11202-007-0100-7

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  • DOI: https://doi.org/10.1007/s11202-007-0100-7

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