Centralizer and Jordan Centralizer of Inverse Semirings

Authors

  • Ali JA. Abass 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.2024.65.9.30

Keywords:

Inverse semiring, centralizer of inverse semiring, Jordan centralizer, α-centralizer, Jordan ‏α-centralizer

Abstract

Let M be a semiprime 2-torsion free inverse semiring, and let α be an endomorphism of M. Under some conditions, we prove a Jordan α-centralizer of M is a α-centralizer of M, also we prove  if R: M→ M be an additive mapping such that R(r3) + α(r)R(r)α(r)' = 0 holds for all r ∈ M, where R is a centralizer, and α is a surjective endomorphism of M.

 

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Published

2024-09-30

Issue

Section

Mathematics

How to Cite

Centralizer and Jordan Centralizer of Inverse Semirings. (2024). Iraqi Journal of Science, 65(9), 5162-5170. https://doi.org/10.24996/ijs.2024.65.9.30

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