Generalized Derivations Acting on Multilinear Polynomials in Prime Rings and Banach Algebras

Makaleler > Tam Makale · 2015

Yazarlar: Basudeb Dhara, Nurcan ARGAÇ

COMMUNICATIONS IN MATHEMATICS AND STATISTICS, SCI Expanded İndekslerine Giren Dergi, Uluslararası, 2015, cilt 4, ss 39-54

DOI: 10.1007/s40304-015-0073-y

Özet

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),..., x(n)) a multilinear polynomial over C which is not central valued on R. If

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