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BSMaSS > Volume 15 > Jordan u-Generalized Reverse Derivations on...
Jordan <i>u-</i>Generalized Reverse Derivations on Semiprime Rings
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Jordan u-Generalized Reverse Derivations on Semiprime Rings

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Abstract:

In this paper, we prove that if G is a Jordan u-generalized reverse derivation of a semi prime ring R of char.≠2, then G is a u-generalized reverse derivation. Similarly, we show that if G is a Jordan u-* generalized reverse derivation of a semi prime ring R of char.≠2, then G is a u-*generalized reverse derivation. We also prove that the commutativity of R if G([x,y]) =0.

Info:

Periodical:
The Bulletin of Society for Mathematical Services and Standards (Volume 15)
Pages:
5-9
DOI:
https://doi.org/10.18052/www.scipress.com/BSMaSS.15.5
Citation:
C. J. S. Reddy et al., "Jordan u-Generalized Reverse Derivations on Semiprime Rings", The Bulletin of Society for Mathematical Services and Standards, Vol. 15, pp. 5-9, 2015
Online since:
October 2015
Authors:
C. Jaya Subba Reddy, G. Venkata Bhaskara Rao, S. Mallikarjuna Rao
Keywords:
Generalized Derivation, Generalized Reverse Derivation, Jordan Derivation, Jordan Generalized Derivation, Jordan Generalized Reverse Derivation, Semiprime Ring
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Distribution:
Open Access

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This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

Ashraf. M. and Rehman N.U., On Jordan generalized derivations in rings, Math. J. Okayama Univ. 42(2000), 7-9.