Jordan Generalized (μ,ρ)-Reverse Derivation from

  • Mahdi Saleh Nayef Department of Mathematics, Education College, Mustansiriyah University, Baghdad, Iraq
  • Auday Hekmat Mahmood Department of Mathematics, Education College, Mustansiriyah University, Baghdad, Iraq
  • Salah Mehdi Salih Department of Mathematics, Education College, Mustansiriyah University, Baghdad, Iraq
Keywords: generalized (μ,ρ)-reverse derivation, Jordan generalized (μ,ρ)-reverse derivation, Jordan generalized triple (μ,ρ)-reverse derivation, Γ-semiring

Abstract

In this study, we introduce and study the concepts of generalized ( , )-reverse derivation, Jordan generalized ( , )-reverse derivation, and Jordan generalized triple ( , )-reverse derivation from Γ-semiring S into ΓS-module X.  The most important findings of this paper are as follows:

If S is Γ-semiring and X is ΓS-module, then every Jordan generalized ( , )- reverse derivations from S into X associated with Jordan ( , )-reverse derivation d from S into X is ( , )-reverse derivation from S into X.

Published
2021-08-31
How to Cite
Nayef, M. S., Mahmood, A. H., & Salih, S. M. (2021). Jordan Generalized (μ,ρ)-Reverse Derivation from . Iraqi Journal of Science, 62(8), 2702-2707. https://doi.org/10.24996/ijs.2021.62.8.23
Section
Mathematics