Glasnik matematički, Vol. 40 No. 2, 2005.
Izvorni znanstveni članak
Identities with derivations on rings and Banach algebras
Joso Vukman
Sažetak
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.
Ključne riječi
Prime ring; semiprime ring; Banach algebra; derivation; commuting mapping; centralizing mapping; skew-commuting mapping; skew-centralizing mapping
Hrčak ID:
373
URI
Datum izdavanja:
9.11.2005.
Posjeta: 1.429 *