Turkish Journal of Computer and Mathematics Education
Journal license

Journal

Turkish Journal of Computer and Mathematics Education


Volume
& Issue

Volume 13, Issue 2


Published
on


Pages

625-630


DOI

Article

An Orthogonal Left Centralizer and Reverse Left Centralizer on Semiprime Rings


Authors

Fawaz Ra'Ad Jarullah* Affiliation:
Department of Mathematics, College of Education, Al-Mustansirya University, Iraq


Abstract

Let R be a semiprime ring. Then we prove the following main result: Let R be a 2-torsion free semiprime ring, t be a left centralizer and h be a reverse left centralizer of R, suppose that $t^2 = h^2$. Then $t + h$ and $t - h$ are orthogonal.


Keywords

semiprime ring, left centralizer, reverse left centralizer, orthogonal left centralizer and reverse left centralizer


Citation

Jarullah, F. R. (2022). An orthogonal left centralizer and reverse left centralizer on semiprime rings. Turkish Journal of Computer and Mathematics Education, 13(2), 625–630.

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