Abstract
In the present note we anaugrate the idea of symmetric generalized bi-semiderivation on rings and prove some classical commutativity results for generalized bi-semiderivation. Moreover, our main objective is to extend the main theorem in \cite{VJ} for biderivation to the case of symmetric generalized bi-semiderivation on prime ring.
Publisher
Sociedade Paranaense de Matemática
Reference8 articles.
1. F. Shujat, Symmetric generalized biderivations of prime rings, Bol. Soc. Paran. Mat. 39(4)(2021), 65-72 (preprint).
2. G. Maksa, A remark on symmetric biadditive functions having nonnegative diagonalization, Glasnik. Mat. 15 (35) (1980), 279-282.
3. I. N. Herstein, A note on derivations II, Canad. Math. Bull. 22 (1979), 509-511.
4. J. Bergen, Derivations in Prime Rings, Canad. Math. Bull. 26 (1983), 267-270.
5. J. C. Chang, On semiderivations of prime rings, Chinese J. Math., 12, (1984), 255-262.