Generalized Derivations with Power Central Values on Multilinear Polynomials on Right Ideals


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ARGAÇ N. , De Filippis V., İNCEBOZ H.

RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, cilt.120, ss.59-71, 2008 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 120
  • Basım Tarihi: 2008
  • Doi Numarası: 10.4171/rsmup/120-4
  • Dergi Adı: RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA
  • Sayfa Sayıları: ss.59-71

Özet

Let K be a commutative ring with unity, R a prime K-algebra, with extended centroid C and right Utumi quotient ring U, g a non-zero generalized derivation of R. Suppose that f(x(1), . . . . ,x(n)) is a multilinear polynomial over K, I is a non-zero right ideal of R and m >= 1, a fixed integer. We prove the following results: