On Identities with Composition of Generalized Derivations

EROĞLU M. P., ARGAÇ N.

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, cilt.60, sa.4, ss.721-735, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 60 Sayı: 4
  • Basım Tarihi: 2017
  • Doi Numarası: 10.4153/cmb-2017-072-4
  • Dergi Adı: CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.721-735
  • Anahtar Kelimeler: prime ring, generalized derivation, composition, extended centroid, multilinear polynomial, maximal right ring of quotients, PRIME-RINGS, POLYNOMIALS
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

Let R be a prime ring with extended centroid C, Q maximal right ring of quotients of R, RC central closure of R such that dim(C) (RC) > 4, f(X-1,...,X-n) a multilinear polynomial over C that is not central-valued on R, and f (R) the set of all evaluations of the multilinear polynomial f(X-1,...,X-n) in R. Suppose that G is a nonzero generalized derivation of R such that G(2) (u) u is an element of C for all u is an element of f (R). Then one of the following conditions holds: