Commuting with Higher Centralizers on Prime Rings

Authors

  • Salah Mehdi Salih Department of Mathematics, College of Education, Mustansiriyah University, Baghdad, Iraq.
  • Radwan Mohammed Al-Omary Department of Mathematics, Ibb University, Ibb, Yemen.

DOI:

https://doi.org/10.22401/anjs.29.3.3520

Keywords:

Higher left centralizers, Centralizing, Commuting, Prime ring

Abstract

The main purpose of this paper is studied the commuting on prime ring by using higher left (right) centralizers we have obtained several results that ensure a ring becomes commutative as assume J≠{0} an ideal of E. If E admits a higher left (right) centralizers κ_n= (κ_i )_(i∈N) s.t. κ_n(pν) –κ_(n-1) (pν) ∈ Z(E ) or κ_n(pν) + κ_(n-1) (pν) ∈ Z(E ), ∀ p,ν ∈ J. Then E is commutative.

References

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Published

2026-09-15

Issue

Vol. 29 No. 3 (2026): September 2026

Section

Mathematics

License

Copyright (c) 2026 Salah Mehdi Salih, Radwan Mohammed Al-Omary

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

(1)
Mehdi Salih, S. .; Mohammed Al-Omary, R. . Commuting With Higher Centralizers on Prime Rings. Al-Nahrain J. Sci. 2026, 29 (3), 242-248. https://doi.org/10.22401/anjs.29.3.3520.

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