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Certain commutativity criteria for rings with involution involving generalized derivations

  • Badr Nejjar , Ali Kacha , Abdellah Mamouni und Lahcen Oukhtite EMAIL logo
Veröffentlicht/Copyright: 28. März 2018
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Georgian Mathematical Journal
Aus der Zeitschrift Georgian Mathematical Journal Band 27 Heft 1

Abstract

In this article we investigate some commutativity criteria for a ring with involution (R,∗) in which generalized derivations satisfy certain algebraic identities. Moreover, we provide examples to show that the assumed restriction cannot be relaxed.

Keywords: Prime ring; involution; commutativity; derivation; generalized derivation
MSC 2010: 16N60; 16W10; 16W25

References

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Received: 2016-01-11
Revised: 2016-07-03
Accepted: 2016-09-21
Published Online: 2018-03-28
Published in Print: 2020-03-01

© 2020 Walter de Gruyter GmbH, Berlin/Boston

Artikel in diesem Heft

  1. Frontmatter
  2. An improvement of the constant in Videnskiĭ’s inequality for Bernstein polynomials
  3. On generalized α-ψ-Geraghty contractions on b-metric spaces
  4. New approximate solutions to electrostatic differential equations obtained by using numerical and analytical methods
  5. A Tauberian theorem for the generalized Nörlund summability method
  6. A multilinear reverse Hölder inequality with applications to multilinear weighted norm inequalities
  7. The Robin function and conformal welding – A new proof of the existence
  8. Effects of the initial moment and several delays perturbations in the variation formulas for a solution of a functional differential equation with the continuous initial condition
  9. The well-posedness of a nonlocal multipoint problem for a differential operator equation of second order
  10. Wavelets method for solving nonlinear stochastic Itô–Volterra integral equations
  11. On an approximate solution of a class of surface singular integral equations of the first kind
  12. On Φ-Dedekind, Φ-Prüfer and Φ-Bezout modules
  13. On the geometrical properties of hypercomplex four-dimensional Lie groups
  14. On sets of singular rotations for translation invariant differentiation bases formed by intervals
  15. Certain commutativity criteria for rings with involution involving generalized derivations
  16. The ℳ-projective curvature tensor field on generalized (κ,μ)-paracontact metric manifolds
  17. Ripplet transform and its extension to Boehmians
  18. Variable exponent fractional integrals in the limiting case α(x)p(n) ≡ n on quasimetric measure spaces
https://doi.org/10.1515/gmj-2018-0010
Schlagwörter für diesen Artikel
Prime ring; involution; commutativity; derivation; generalized derivation

Artikel in diesem Heft

  1. Frontmatter
  2. An improvement of the constant in Videnskiĭ’s inequality for Bernstein polynomials
  3. On generalized α-ψ-Geraghty contractions on b-metric spaces
  4. New approximate solutions to electrostatic differential equations obtained by using numerical and analytical methods
  5. A Tauberian theorem for the generalized Nörlund summability method
  6. A multilinear reverse Hölder inequality with applications to multilinear weighted norm inequalities
  7. The Robin function and conformal welding – A new proof of the existence
  8. Effects of the initial moment and several delays perturbations in the variation formulas for a solution of a functional differential equation with the continuous initial condition
  9. The well-posedness of a nonlocal multipoint problem for a differential operator equation of second order
  10. Wavelets method for solving nonlinear stochastic Itô–Volterra integral equations
  11. On an approximate solution of a class of surface singular integral equations of the first kind
  12. On Φ-Dedekind, Φ-Prüfer and Φ-Bezout modules
  13. On the geometrical properties of hypercomplex four-dimensional Lie groups
  14. On sets of singular rotations for translation invariant differentiation bases formed by intervals
  15. Certain commutativity criteria for rings with involution involving generalized derivations
  16. The ℳ-projective curvature tensor field on generalized (κ,μ)-paracontact metric manifolds
  17. Ripplet transform and its extension to Boehmians
  18. Variable exponent fractional integrals in the limiting case α(x)p(n) ≡ n on quasimetric measure spaces
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