Generalized Derivations Acting on Multilinear Polynomials in Prime Rings and Banach Algebras
Basudeb Dhara , Nurcan Argaç
Communications in Mathematics and Statistics ›› 2016, Vol. 4 ›› Issue (1) : 39 -54.
Generalized Derivations Acting on Multilinear Polynomials in Prime Rings and Banach Algebras
Let R be a prime ring of characteristic different from 2 with Utumi quotient ring U and extended centroid C, F and G, the two nonzero generalized derivations of R, I an ideal of R and $f(x_1,\ldots ,x_n)$ a multilinear polynomial over C which is not central valued on R. If
Prime ring / Derivation / Generalized derivation / Extended centroid / Utumi quotient ring / Banach algebra
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