Generalized derivations on Jordan ideals in prime rings

ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

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 J\subseteq Z(R) if any one of the following properties holds: (i) [F(u), u]\in Z(R), (ii) F(u)u = ud(u), (iii) d(u2)=2F(u)u, (iv) F(u2)-2uF(u) = d(u2)-2ud(u), (v) F2(u)+3d2(u)=2Fd(u)+2dF(u), (vi) F(u2) = 2uF(u) for all u \in J.

Anahtar Kelimeler:

Prime rings, Jordan ideals, generalized derivations, derivations

Generalized derivations on Jordan ideals in prime rings

Keywords:

Prime rings, Jordan ideals, generalized derivations, derivations,

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