Multiplicative (Generalized) Reverse Derivations on Semiprime Ring
2018 ◽
Vol 11
(3)
◽
pp. 717-729
Let R be a semiprime ring. A mapping F : R → R (not necessarily additive) is called a multiplicative (generalized) reverse derivation if there exists a map d : R → R (not necessarily a derivation nor an additive map) such that F(xy) = F(y)x + yd(x) for all x, y є R. In this paper we investigate some identities involving multiplicative (generalized) reverse derivation and prove some theorems in which we characterize these mappings.
2019 ◽
Vol 63
(1)
◽
pp. 193-216
2014 ◽
Vol 96
(3)
◽
pp. 326-337
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2017 ◽
Vol 4
(1)
◽
pp. 1-10
2015 ◽
Vol 93
(2)
◽
pp. 231-237
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2015 ◽
Vol 34
(2)
◽
pp. 29
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