Jordan Generalized (μ,ρ)-Reverse Derivation from

Mahdi Saleh  Nayef; Auday Hekmat  Mahmood; Salah Mehdi  Salih

doi:10.24996/ijs.2021.62.8.23

Authors

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

DOI:

https://doi.org/10.24996/ijs.2021.62.8.23

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.