Ansari, A. Z.; Shujat, F.; Alhendi, G. Ideals, centralizers and symmetric bi-derivations on prime rings. (English) Zbl 1451.16035 Int. J. Math. Comput. Sci. 15, No. 2, 549-557 (2020). Summary: The purpose of the present paper is to prove some results concerning symmetric biderivations on an ideal of a ring, which are of independent interest. More precisely, we extend a result of M. Brešar [J. Algebra 156, No. 2, 385–394 (1993; Zbl 0773.16017)]. MSC: 16W25 Derivations, actions of Lie algebras 16N60 Prime and semiprime associative rings Keywords:prime ring; extended centroid; centralizer; bi-derivation Citations:Zbl 0773.16017 PDFBibTeX XMLCite \textit{A. Z. Ansari} et al., Int. J. Math. Comput. Sci. 15, No. 2, 549--557 (2020; Zbl 1451.16035) Full Text: Link