Generalized Higher Derivations on ΓM-Modules

  • Auday Hekmat Mahmood Depart of Mathematics College of education AL- Mustansiriyah University, Baghdad. Iraq
  • Mahdi Saleh Nayef Depart of Mathematics College of education AL- Mustansiriyah University, Baghdad. Iraq
  • Salah Mehdi Salih Depart of Mathematics College of education AL- Mustansiriyah University, Baghdad. Iraq
Keywords: generalized higher derivations, Jordan generalized higher derivations, ΓM-module

Abstract

The concepts of generalized higher derivations, Jordan generalized higher derivations, and Jordan generalized triple higher derivations on Γ-ring M into ΓM-modules X are presented. We prove that every Jordan generalized higher derivation of Γ-ring M into 2-torsion free ΓM-module X, such that aαbβc=aβbαc, for all a, b, c M and α,βΓ, is Jordan generalized triple higher derivation of M into X.

Published
2020-05-17
How to Cite
MahmoodA. H., NayefM. S., & SalihS. M. (2020). Generalized Higher Derivations on ΓM-Modules. Iraqi Journal of Science, 35-44. https://doi.org/10.24996/ijs.2020.SI.1.6