NOTES ON GENERALIZED DERIVATIONS OF *-PRIME RINGS

作者：Koc Emine^*; Rehman Nadeem Ur

来源：Miscolc Mathematical Notes, 2014, 15(1): 117-123.

DOI：10.18514/mmn.2014.779

• prime rings
• derivations
• generalized derivations
• Lie ideals

Let R be a *-prime ring with characteristic different from two and U not equal 0 be a square closed *-Lie ideal of R. An additive mapping F : R -> R is called an generalized derivation if there exits a derivation d : R -> R such that F(xy) = F(x)y + xd(y). In the present paper, it is shown that U subset of Z if R is a *-prime ring which admits a generalized derivation satisfying several conditions that are associated with a derivation commuting with *.

• 出版日期2014