On symmetric generalized bi-semiderivations of prime rings
Resumo
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.
Downloads
Referências
F. Shujat, Symmetric generalized biderivations of prime rings, Bol. Soc. Paran. Mat. 39(4)(2021), 65-72 (preprint).
G. Maksa, A remark on symmetric biadditive functions having nonnegative diagonalization, Glasnik. Mat. 15 (35) (1980), 279-282.
I. N. Herstein, A note on derivations II, Canad. Math. Bull. 22 (1979), 509-511.
J. Bergen, Derivations in Prime Rings, Canad. Math. Bull. 26 (1983), 267-270.
J. C. Chang, On semiderivations of prime rings, Chinese J. Math., 12, (1984), 255-262.
J. Vukman, Two results concerning symmetric biderivations on prime rings, Aequationes Math. 40 (1990), 181–189.
H. Yazrali and D. Yilmaz, On symmetric bi-semiderivation on prime rings Preprint (2020).
N. Rehman and A. Z. Ansari, On lie ideals with symmetric bi-additive maps in rings, Palestine J. Math. 2 (2013), 14-21.
Copyright (c) 2024 Boletim da Sociedade Paranaense de Matemática
This work is licensed under a Creative Commons Attribution 4.0 International License.
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
