When are Multiplicative (Generalized)-(σ,τ)-Derivations Additive?
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Authors: M. A. SIDDEEQUE AND N. KHAN
DOI: 10.46793/KgJMat2606.989S
Abstract:
Let R be an associative ring. A multiplicative (generalized)-(σ,τ)-derivation F is a map on R satisfying F(xy) = F(x)σ(y) + τ(x)g(y) for all x,y ∈ R, where σ,τ are homomorphisms on R and g is any map on R. In this article, we have obtained some conditions on R, which make both F and g additive.
Keywords:
Ring, idempotent element, derivation, multiplicative (generalized)-(σ,τ)-derivation, Peirce decomposition.
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