Centralizers of Semiprime Inverse Semirings

Sonia  Dog; D. Mary  Florence; R.  Murugesan; P.  Namasivayam

doi:10.5644/SJM.17.02.04

Centralizers of Semiprime Inverse Semirings

Authors

Sonia Dog
D. Mary Florence
R. Murugesan
P. Namasivayam

DOI:

https://doi.org/10.5644/SJM.17.02.04

Keywords:

Inverse semirings, MA-semirings, additive mappings, semiprime, 2-torsion free semirings

Abstract

Let $S$ be a $2$-torsion free semiprime inverse semiring such that all elements of the form $x+x'$ are in the center of $S$. We prove that any additive mapping $F\colon S\to S$ satisfying the condition $2F(xyx)+F(x)yx'+x'yF(x)=0$ is a centralizer.

Statistics

Abstract: 35 / PDF: 17

Downloads

Published

03.03.2022

How to Cite

Dog, S. ., Florence, D. M. ., Murugesan, R. ., & Namasivayam, P. . (2022). Centralizers of Semiprime Inverse Semirings. Sarajevo Journal of Mathematics, 17(2), 167–173. https://doi.org/10.5644/SJM.17.02.04