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- W2157171945 abstract "Let R be a prime ring of characteristic different from 2, with extended centroid C, U its two-sided Utumi quotient ring, dneq 0 a non-zero generalized derivation of R, f(x1,..,xn) a non-central multilinear polynomial over C in n non-commuting variables, a in R such that a[d(f(r1,..,rn)),f(r1,..,rn)]=0, for any r1,..,rn in R. Then one of the following holds: 1. a=0; 2. there exists l in C such that d(x)=l x, for all x in R; 3. there exist q in U and l in C such that d(x)=(q+l)x+xq, for all xin R, and f(x1,..,xn)2 is central valued on R." @default.
- W2157171945 created "2016-06-24" @default.
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- W2157171945 date "2008-02-01" @default.
- W2157171945 modified "2023-09-26" @default.
- W2157171945 title "Posner´s Second Theorem and an Annihilator Condition with Generalized Derivations" @default.
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