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Gandomani, Mohammad; Mehdipour, Mohammad
Filomat, 2021, Volume: 35, Issue: 4Journal Article
Here, we investigate symmetric bi-derivations and their generalizations on L? 0 (G)*. For k ? N, we show that if B:L?0(G)*x L?0(G)* ? L?0(G)* is asymmetric bi-derivation such that B(m,m),mk ? Z(L?0(G)*) for all m ? L? 0 (G)*, then B is the zero map. Furthermore, we characterize symmetric generalized biderivations on group algebras. We also prove that any symmetric Jordan bi-derivation on L? 0(G)* is a symmetric bi-derivation.
