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

  • 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
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.

Published
2019-09-29
How to Cite
Rasheed, M. K., & Majeed, A. H. (2019). Dependent Element and Free Actions of Centralizer and Reverse Centralizer on Prime and Semiprime Semirings. Iraqi Journal of Science, 60(9), 2053-2057. https://doi.org/10.24996/ijs.2019.60.9.20
Section
Mathematics