Higher Reverse Left (Respectively Right) Centralizerhomo  on Prime Ring

Authors

  • Mustafa I. Mahdi
  • Salah Mehdi Salih

DOI:

https://doi.org/10.31185/wjps.967

Keywords:

Ring, Prime, centralizer, Centralizerhomo, Higher Reverse, Jordan, Jordan Triple

Abstract

Assuming K is a ring, the present study introduces original algebraic structures termed higher reverse left (resp. right) Centralizerhomo and Jordan higher reverse left (resp. right) Centralizerhomo. In this work investigates the interconnection between these concepts, as well as their fundamental properties.

References

[1] J. Vokman and I. K, "On centralizer of simeprime rings," Aequationnes Math., pp. 66,pp.277=283, Ulbl 2003.

[2] B. Zalar, "On centralizers of simeprime Ring," comment. math. univ. carol., 33,, pp. pp.609-614, 1991.

[3] I. N. Herstein, "Jordan homomorphisms," Trans. Amer. Math. Soc.81, pp. 331-351, 1956.

[4] M. F. Smiley, "Jordan homomorphisms onto prime rings," Proc. Amer. Math. Soc. 8, pp. 426-429, 1957.

[5] A. H. Mahmood, S. M. Salih and R. M. Al-omary, "A.Jordan higher ⋆-left (accordingly right)-centralizers on prime rings with involution," Al Nahrain Journal of Science, Vol.28, no.2, p. 189–191., 2025.

[6] M. I. Mahdi and S. M. Salah, "Generalized Reverse Left (Respectively Right) Centralizerhomo on Prime Rings".to appear.

[7] M. I. Mahdi and S. M. Salih, "Higher Reverse Left (Respectively Right) Centralizerhomo on Gamma Rings".ot appear.

[8] M. I. Mahdi and S. M. Salih , "Generalized Higher Reverse Left (Respectively Right) Centralizerhomo on prime Gamma Rings".to appear.

[9] S. M. Salih, "Generalized Higher Left Centralizer of Prime Rings," International Journal of Current Research, 8(11), pp. 40966-40975, 2016.

[10] S. M. Salih and N. N. Sulaiman, "Jordan Triple Higher (σ,τ) - Homomorphisms on Prime Rings," Iraqi Journal of Science, Vol. 61, No. 10,, pp. 2671-2680, 2020.

[11] M. F. smiley, "Jordan homomorphisms onto prime rings," proc. Amer. Math. soc.8, pp. 426-429, 1957.

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Published

2026-09-30

Issue

Vol. 5 No. 3 (2026)

Section

Mathematics

License

Copyright (c) 2026 Mustafa I. Mahdi, Salah Mehdi Salih

Creative Commons License

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

How to Cite

I. Mahdi, M., & Mehdi Salih, S. (2026). Higher Reverse Left (Respectively Right) Centralizerhomo  on Prime Ring. Wasit Journal for Pure Sciences, 5(3), 37-41. https://doi.org/10.31185/wjps.967