(α, β) – Derivations on Prime Inverse Semirings

Khatam AD.  Zaghir; Abdulrahman Hameed  Majeed

doi:10.24996/ijs.2021.62.11.28

Authors

Khatam AD. Zaghir Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
Abdulrahman Hameed Majeed Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2021.62.11.28

Keywords:

inverse semiring, prime inverse semiring, cancellative, left ideal, Jordan ideal, (α, β) – derivation

Abstract

Let S be a prime inverse semiring with center Z(S). The aim of this research is to prove some results on the prime inverse semiring with (α, β) – derivation that acts as a homomorphism or as an anti- homomorphism, where α, β are automorphisms on S.