New results on generalization of Jordan centralizers over matrix rings
Künye
Ghosh, A., Prakash, O. & Singh, S. (2024). New results on generalization of Jordan centralizers over matrix rings. TWMS Journal of Applied and Engineering Mathematics, 14(3), 1203-1217.Özet
This paper presents a study on Jordan maps over matrix rings with some functional equations related to additive maps on these rings. We first show that every Jordan left (right) centralizer over a matrix ring is a left (right) centralizer. Moreover, every two-sided centralizer over the matrix ring is of a particular form. Further, we prove that any additive map satisfying functional equations over matrix rings becomes a two-sided centralizer. Finally, we conclude our work with some results on the Jordan left ?- centralizer over matrix rings and establish some results on functional equations that arise for the ?-centralizer.
Cilt
14Sayı
3Bağlantı
https://jaem.isikun.edu.tr/web/index.php/archive/125-vol14no3/1248http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6083
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