1. NOTES ON GENERALIZED DERIVATIONS OF *-PRIME RINGS.
- Author
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KOÇ, EMINE and REHMAN, NADEEM UR
- Subjects
- *
RING theory , *MATHEMATICAL mappings , *ASSOCIATIVE rings , *BOUNDARY value problems , *MATHEMATICAL research - Abstract
Let R be a *-prime ring with characteristic different from two and U ≠ 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 ⊆ Z if R is a *-prime ring which admits a generalized derivation satisfying several conditions that are associated with a derivation commuting with *. [ABSTRACT FROM AUTHOR]
- Published
- 2014
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