【摘 要】
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The main purpose of this paper is to study generalized derivations in rings with involution which behave like strong commutativity preserving mappings.In fact,w
【机 构】
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Department of Computer Science and Engineering Islamic University of Science and Technology J & K, I
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The main purpose of this paper is to study generalized derivations in rings with involution which behave like strong commutativity preserving mappings.In fact,we prove the following result:Let R be a noncommutative prime ring with involution of the second kind such that char(R) ≠ 2.If R admits a generalized derivation F:R → R associated with a derivation d:R → R such that [F(x),F(x*)]-[x,x*] =0 for all x ∈ R,then F(x) =x for all x ∈ R or F(x) =-x for all x ∈ R.Moreover,a related result is also obtained.
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