U- S Jordan Homomorphisim of Inverse Semirings

Rawnaq KH. Ibraheem; Abdulrahman H. Majeed

doi:10.24996/ijs.2019.60.8.15

U- S Jordan Homomorphisim of Inverse Semirings

Authors

Rawnaq KH. Ibraheem Department of Math, College of Science, University of Baghdad, Baghdad, Iraq
Abdulrahman H. Majeed Department of Math, College of Science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2019.60.8.15

Keywords:

Inverse semiring, Jordan homomorphism, prime ring

Abstract

Let S be an inverse semiring, and U be an ideal of S. In this paper, we introduce the concept of U-S Jordan homomorphism of inverse semirings, and extend the result of Herstein on Jordan homomorphisms in inverse semirings.