On Lie ideals and symmetric bi-semiderivations in prime rings

Document Type : Research Paper


1 Erzurum Technical University, Faculty of Science, Department of Mathematics, Erzurum, Turkey

2 Department of Mathematics, Sivas Cumhuriyet University Sivas, Turkey


In this paper, we investigate the relationship between symmetric bi-semiderivations and Lie ideals of a prime ring. Additionally, we extend some well-known results concerning symmetric biderivations of prime rings to symmetric bi-semiderivations.