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On Centrally Extended Reverse and Generalized Reverse Derivations

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Abstract

In this paper, we define the notions of centrally-extended reverse derivations and centrally-extended generalized reverse derivations and discuss the relationship between these mappings and the reverse derivations as well as the generalized reverse derivations. Also, we give some commutativity results.

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References

  1. A. Aboubakr and S. González, Generalized reverse derivations on semiprime rings, Siberian Mathematical Journal, 2(56) (2015), 199–205.

    Article  Google Scholar 

  2. H. E. Bell and M. N. Daif, On centrally-extended maps on rings, Beitr. Algebra Geom., 8 (2016), 129–136.

    Article  MathSciNet  Google Scholar 

  3. M. Brešar, On the distance of the composition of two derivations to the generalized derivations, Glasgow Math. J., 33(1) (1991), 89–93.

    Article  MathSciNet  Google Scholar 

  4. Ő. Gőlbasi and K. Kaya, On Lie ideals with generalized derivations, Siberian Math. J., 47(5) (2006), 862–866.

    Article  MathSciNet  Google Scholar 

  5. I. N. Herstein, Jordan derivations of prime rings, Proc. Amer. Math. Soc., 8 (1957), 1104–1110.

    Article  MathSciNet  Google Scholar 

  6. F. Wei and Z. Xiao, Generalized Jordan derivations on semiprime rings and its applications in range inclusion problems, Mediterr. J. Math., 8 (2011), 271–291.

    Article  MathSciNet  Google Scholar 

  7. B. Zalar, On centralizers of semiprime rings, Comment. Math. Univ. Carol., 32(4) (1991), 609–614.

    MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Helwan University, Ain Helwan, 11790, Helwan, Egypt

    Susan F. El-Deken

  2. Department of Mathematics, Faculty of Science, Fayoum University, Fayoum, Egypt

    Mahmoud M. El-Soufi

  3. Department of Mathematics, Faculty of Science, Al Baha University, Al Baha, Kingdom of Saudi Arabia

    Mahmoud M. El-Soufi

Authors
  1. Susan F. El-Deken
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  2. Mahmoud M. El-Soufi
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Corresponding authors

Correspondence to Susan F. El-Deken or Mahmoud M. El-Soufi.

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El-Deken, S.F., El-Soufi, M.M. On Centrally Extended Reverse and Generalized Reverse Derivations. Indian J Pure Appl Math 51, 1165–1180 (2020). https://doi.org/10.1007/s13226-020-0456-y

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  • DOI: https://doi.org/10.1007/s13226-020-0456-y

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