Browsing by Author "Koç E."

Lie ideals and (?,?)-derivations of *-prime rings

ur Rehman N.; Gölbaşı Ö.; Koç E. (2013)

Let (R, *) be a 2-torsion free *-prime ring with involution *, L ? {0} be a *-Lie ideal of R. An additive mapping d: R ? R is called an (?,?)-derivation of R such that d(xy) = d(x)?(y) + ?(x)d(y). In the present paper, we ...

A note on (?, ?)-derivations of rings with involution

Koç E.; Gölbaşi O. (2014)

Let R be a 2-torsion free simple *-ring and D : R ? R be an additive mapping satisfiying D(xx*)= D(x)?(x*)+?(x)D(x*), for all x ? R. Then D is a (?, ?)-derivation of R or R is S4 ring. Also, if R is a 2-torsion free semiprime ...

Notes on generalized (?, ?)-derivation

Gölbaşi O.; Koç E. (2010)

Let R be a prime ring with charR ? 2 and let ?, ? be automorphisms of R. An additive mapping f: R ? R is called a generalized (?, ?)-derivation if there exists a (?, ?)-derivation d: R ? R such that f(xy) = f(x)?(y) + ...

Notes on generalized Jordan (?, ?)* - Derivations of semiprime rings with involution

Huang S.; Koç E. (2014)

Let R be a 6-torsion free semiprime *-ring, ? an endomorphism of R, ? an epimorphism of R and f: R ? R an additive mapping. In this paper we proved the following result: f is a generalized Jordan (?, ?)* -derivation if and ...