Glasnik matematički, Vol. 48 No. 1, 2013.
Izvorni znanstveni članak
https://doi.org/10.3336/gm.48.1.06
A result concerning derivations in prime rings
Maja Fošner
; Faculty of logistics, University of Maribor, Mariborska cesta 7, 3000 Celje, Slovenia
Nina Peršin
; Prušnikova 48, 2000 Maribor, Slovenia
Sažetak
A classical result of Herstein asserts that any Jordan derivation on a prime ring of characteristic different from two is a derivation. It is our aim in this paper to prove the following result, which is in the spirit of Herstein's theorem. Let R be a prime ring with char(R)=0 or 4 < char(R), and let D:R → R be an additive mapping satisfying either the relation D(x3)=D(x2)x+x2D(x) or the relation D(x3)=D(x)x2+xD(x2) for all x R. In both cases D is a derivation.
Ključne riječi
Prime ring; semiprime ring; derivation; Jordan derivation; Jordan triple derivation; functional identity
Hrčak ID:
103272
URI
Datum izdavanja:
4.6.2013.
Posjeta: 892 *