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

Year 2026, Volume: 39 Issue: 39, 81 - 90, 10.01.2026

Abbas Zivari-kazempour

https://doi.org/10.24330/ieja.1725123

Cited By: 1

https://izlik.org/JA86ZE95RM

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].

Keywords

$(\sigma,\tau)$-generalized derivation , $(\sigma,\tau)$-generalized Jordan derivation , Hochschild $2$-cocycle

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