Generalized derivations on Jordan ideals in prime rings

Autor:	Mahmmoud El-Soufi, Ahmed Aboubakr
Rok vydání:	2014
Předmět:	Combinatorics Pure mathematics General Mathematics Prime rings Jordan ideals generalized derivations derivations Prime ring Center (category theory) Ideal (ring theory) Subring Prime (order theory) Mathematics
Zdroj:	Volume: 38, Issue: 2 233-239 Turkish Journal of Mathematics
ISSN:	1303-6149 1300-0098
DOI:	10.3906/mat-1211-42
Popis:	Let R be a 2-torsion free prime ring with center Z(R), J be a nonzero Jordan ideal also a subring of R, and F be a generalized derivation with associated derivation d. In the present paper, we shall show that JZ(R) if any one of the following properties holds: (i) (F(u);u) 2 Z(R), (ii) F(u)u = ud(u), (iii) d(u 2 ) = 2F(u)u, (iv) F(u 2 ) 2uF(u) = d(u 2 ) 2ud(u), (v) F 2 (u) + 3d 2 (u) = 2Fd(u) + 2dF(u), (vi) F(u 2 ) = 2uF(u) for all u 2 J.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::28bf2704e93d82e52b9c19161a3a41b4 https://doi.org/10.3906/mat-1211-42 Zobrazit plný text záznamu Plný text ve formátu PDF