Derivations in Differentially δ-prime Rings

Authors

  • Iman Taha UPSI
  • Rohaidah Masri Faculty of Sciences and Mathematics, Sultan Idris Education University, Tanjong Malim, Perak, Malaysia
  • Ahmad Alkhalaf Faculty of Sciences, Imam Mohammad Ibn Saud Islamic University, Riyadh, Saudi Arabia
  • Rawdah Tarmizi Faculty of Sciences and Mathematics, Sultan Idris Education University, Tanjong Malim, Perak, Malaysia

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i2.4344

Keywords:

$l_p$-norm estimate, prime ring

Keywords:

$l_p$-norm estimate, prime ring

Abstract

Let R be an associative ring with identity. In this paper we extend the J.H. Maynes results, which he treatised in [28]. In particular, we prove that if R is a δ-prime ring with charR non equal 2 and I is a nonzero δ-ideal of R, where   δ ∈ D, c ∈ R and [c, δ(c)] in the center of R, then R is commutative.

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How to Cite

Taha, I., Masri, R. ., Alkhalaf, A., & Tarmizi, R. . (2022). Derivations in Differentially δ-prime Rings. European Journal of Pure and Applied Mathematics, 15(2), 454–466. https://doi.org/10.29020/nybg.ejpam.v15i2.4344