Characterizations of $(\sigma,\tau)$-generalized Jordan derivations on prime rings

Abstract

In this paper, we characterize $(\sigma,\tau)$-generalized Jordan derivations from a ring $R$ into an $S$-bimodule $X$, where $\sigma,\tau \colon R\longrightarrow S$ are ring homomorphisms. Our result covers a known result due to Nakajima [Turkish J. Math., 30 (2006), 403-411].