Browsing by Author "Gölbaşi Ö."

Generalized (?,?)-derivations on Jordan ideals in *-prime rings

Gölbaşi Ö.; Kizilgöz Ö. (2014)

Let 2 will be a 2-torsion free *-prime ring and ?, ? ? Aut R. F be a nonzero generalized (?, ?)-derivation of R with associated nonzero (?, ?)-derivation d which commutes with * and J be a nonzero *-Jordan ideal and a ...

On near-ring ideals with (?, ?)-derivation

Gölbaşi Ö.; Aydin N. (2007)

Let N be a 3-prime left near-ring with multiplicative center Z, a (?, ?)-derivation D on N is defined to be an additive endomorphism satisfying the product rule D(xy) = ?(x)D(y) + D(x)?(y) for all x, y ? N, where ? and ? ...

Some commutativity theorems of prime rings with generalized (?, ?)-derivation

Gölbaşi Ö.; Koç E. (2011)

Some results for generalized lie ideals in prime rings with derivation II

Kaya K.; Gölbaşi Ö.; Aydin N. (2001)

Let R be a prime ring of characteristic different from two, d : R ? R a non-zero derivation, and M a non-zero left ideal of R. We prove the following results: (1) if a ? R and [d(R), a]?, ? = 0, then ? (a) + ?(a) ? Z, the ...