Centralizers on prime gamma rings with involution
*Maryam Kareem ChitheerCorresponding authormaryam.k.chitheer@uotechnology.edu.iqDepartment of Optoelectronics EngineeringCollege of Laser & Optoelectronics EngineeringUniversity of TechnologyBaghdad, IraqView full profile → , Abdulrahman H. Majeedabdulrahman.h.majeed@almamonuc.edu.iqDepartment of MathematicsAl-Mamoun UniversityBaghdad, IraqView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Nov 2025
- Published Online:
- 22 May 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-2672
- Pages:
- 2027–2033
Abstract
Keywords
Subject Classifications
References
[1] S. Ali and N. A. Dar, “On centralizers of prime rings with involution, ” Bulletin of the Iranian Mathematical Society, vol. 41, no. 6, pp. 1465–1475 (2015).
[2] E. C. Posner, “Derivations in prime rings, ” Proceedings of the American Mathematical Society, vol. 8, pp. 1093–1100 (1957), doi: 10.1090/S0002-9939-1957-0095863-0.
[3] M. Ashraf and S. Ali, “On left multipliers and the commutativity of prime rings, ” Demonstratio Mathematica, vol. 41, no. 4, pp. 763–771 (2008), doi: 10.1515/dema-2008-0404.
[4] M. K. Chitheer, A. H. Majeed, and Z. M. Mohamed, “Several types of derivations on prime and semiprime gamma rings,” Journal of Discrete Mathematical Sciences & Cryptography, vol. 27, no. 5, pp. 1705–1714 (2024), doi: 10.47974/JDMSC-2012.
[5] J. Luh, “A note on commuting automorphisms of rings,” The American Mathematical Monthly, vol. 77, no. 1, pp. 61–62 (1970), doi: 10.1080/00029890.1970.11992420.
[6] I. N. Herstein, Rings with Involution. Chicago, IL, USA: University of Chicago Press, pp. 1–247 (1976). [Online: https://cir.nii.ac.jp/crid/1970867909902911244].
[7] B. Nejjar, A. Kacha, A. Mamouni, and L. Oukhtite, “Commutativity theorems in rings with involution, ” Communications in Algebra, vol. 45, no. 2, pp. 698–708 (2017), doi: 10.1080/00927872.2016.1172629.
[8] J. Vukman and I. Kosi-Ulbl, “On centralizers of semiprime rings with involution,” Studia Scientiarum Mathematicarum Hungarica, vol. 43, no. 1, pp. 61–67 (2006), doi: 10.1556/sscmath.43.2006.1.4.
[9] N. J. Divinsky, “On commuting automorphisms of rings,” Transactions of the Royal Society of Canada, Section III, vol. 49, pp. 19–22 (1955).
[10] A. Ali and M. Yasen, “A note on automorphisms of prime and semiprime rings,” Kyoto Journal of Mathematics, vol. 45, no. 2, pp. 243–246 (2005), doi: 10.1215/kjm/1250281987.
[11] I. R. Hentzel and M. T. El-Sayiad, “Left centralizers on rings that are not semiprime,” Rocky Mountain Journal of Mathematics, vol. 41, no. 5, pp. 1471–1482 (2011), doi: 10.1216/RMJ-2011-41-5-1471.
