Open AccessDependent Element and Free Actions of Centralizer and Reverse Centralizer on Prime and Semiprime Semirings
Author(s) -
Maryam Rasheed,
Abdulrahman H. Majeed
Publication year - 2019
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.152
H-Index - 4
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2019.60.9.20
Subject(s) - centralizer and normalizer , mathematics , prime (order theory) , semiprime ring , action (physics) , pure mathematics , element (criminal law) , discrete mathematics , combinatorics , physics , political science , quantum mechanics , law
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.