On Lie Structure in Semiprime Inverse Semirings

Rawnaq KH.  Ibraheem; Abdulrahman H.  Majeed

doi:10.24996/ijs.2019.60.12.21

On Lie Structure in Semiprime Inverse Semirings

Authors

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

DOI:

https://doi.org/10.24996/ijs.2019.60.12.21

Keywords:

Additively inverse Semiring, Lie ideal of an Inverse Semiring, Semiprime Inverse Semirings

Abstract

In this paper we introduce the definition of Lie ideal on inverse semiring and we generalize some results of Herstein about Lie structure of an associative rings to inverse semirings.