Dependent Element and Free Actions of Centralizer and Reverse Centralizer on Prime and Semiprime Semirings

Maryam K. Rasheed; Abdulrahman H. Majeed

doi:10.24996/ijs.2019.60.9.20

Dependent Element and Free Actions of Centralizer and Reverse Centralizer on Prime and Semiprime Semirings

Authors

Maryam K. Rasheed Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
Abdulrahman H. Majeed Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2019.60.9.20

Keywords:

Prime semiring, Semiprime semiring, Dependent element, Free actions, Centralizer, Reverse centralizer

Abstract

This paper develops the work of Mary Florence et.al. on centralizer of semiprime semirings and presents reverse centralizer of semirings with several propositions and lemmas. Also introduces the notion of dependent element and free actions on semirings with some results of free action of centralizer and reverse centralizer on semiprime semirings and some another mappings.

Downloads

Download data is not yet available.

Downloads

Published

2019-09-29

Issue

Vol 60 No 9 (2019)

Section

Mathematics

How to Cite

Dependent Element and Free Actions of Centralizer and Reverse Centralizer on Prime and Semiprime Semirings. (2019). Iraqi Journal of Science, 60(9), 2053-2057. https://doi.org/10.24996/ijs.2019.60.9.20