Derivations in commutators with power central values in rings

• Autores: Yi-Qiu Du, Yu Wang
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 77, Fasc. 1-2, 2010, págs. 193-199
• Idioma: inglés
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• Resumen

  • Let R be a prime ring of characteristic di®erent from 2 and I a nonzero ideal of R, d a nonzero derivation of R such that [d(xk); xk]n is central, for all x 2 I where k, n are ¯xed positive integers. Then R satis¯es s4, the standard identity in 4 variables.