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- W2321290141 abstract "Let R be a ring and F and G be generalized derivations ofR with associated derivations d and g respectively. In the present paper,we shall investigate the commutativity of semiprime ring R admitting generalizedderivations F and G satisfying any one of the properties: (i)F(x)x =xG(x); (ii) [F(x); d(y)] = [x; y]; (iii) F([x; y]) = [d(x); F(y)]; (iv) d(x)F(y) =xy; (v) F(x2) = x2; (vi) [F(x); y] = [x;G(y)]; (vii) F([x; y]) = [F(x); y]+[d(y); x] and(viii) F(x ◦ y) = F(x) ◦ y − d(y) ◦ x for all x; y in some appropriate subset of R." @default.
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- W2321290141 date "2010-08-13" @default.
- W2321290141 modified "2023-10-12" @default.
- W2321290141 title "On Semiprime Rings with Generalized Derivations" @default.
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- W2321290141 doi "https://doi.org/10.5269/bspm.v28i2.10649" @default.
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