(α, β) – Derivations on Prime Inverse Semirings

Khatam AD.  Zaghir; Abdulrahman Hameed  Majeed

doi:10.24996/ijs.2021.62.11.28

(α, β) – Derivations on Prime Inverse Semirings

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.