Abstract
Let R be a semiprime ring and \(\alpha \) any map** on R. A map** \(F:R\rightarrow R\) is called multiplicative (generalized)-derivation if \(F(xy)=F(x)y+xd(y)\) for all \(x, y \in R\), where \(d:R\rightarrow R\) is any map (not necessarily additive). In this paper our main motive is to study the commutativity of semiprime rings and nature of map**s.
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Tiwari, S.K., Sharma, R.K. & Dhara, B. Multiplicative (generalized)-derivation in semiprime rings. Beitr Algebra Geom 58, 211–225 (2017). https://doi.org/10.1007/s13366-015-0279-x
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DOI: https://doi.org/10.1007/s13366-015-0279-x