Identities with derivations on rings and Banach algebrasReportar como inadecuado




Identities with derivations on rings and Banach algebras - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Glasnik matematički, Vol.40 No.2 November 2005. -

In this paper we prove the following result. Let m 1, n 1 be integers and let R be a 2mn(m+n-1)!-torsion free semiprime ring. Suppose there exist derivations D, G : R R such that D(xm)xn + xnG(xm) = 0 holds for all x R. In this case both derivations D and G map R into its center and D = -G. We apply this purely algebraic result to obtain a range inclusion result of continuous derivations on Banach algebras.

Prime ring; semiprime ring; Banach algebra; derivation; commuting mapping; centralizing mapping; skew-commuting mapping; skew-centralizing mapping



Autor: Joso Vukman -

Fuente: http://hrcak.srce.hr/



DESCARGAR PDF




Documentos relacionados