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Some Results On Lie Ideals With (σ,τ)-derivationIn Prime Rings | ||
| Baghdad Science Journal | ||
| Article 1, Volume 6, Issue 1, 2009, Pages 231-234 | ||
| Author | ||
| Kassim Abdul-Hameed Jassim | ||
| Abstract | ||
| In this paper, we proved that if R is a prime ring, U be a nonzero Lie ideal of R , d be a nonzero (σ,τ)-derivation of R. Then if UaZ(R) (or aUZ(R)) for aR, then either or U is commutative Also, we assumed that Uis a ring to prove that: (i) If UaZ(R) (or aUZ(R)) for aR, then either a=0 or U is commutative. (ii) If ad(U)=0 (or d(U)a=0) for aR, then either a=0 or U is commutative. (iii) If d is a homomorphism on U such that ad(U) Z(R)(or d(U)aZ(R), then a=0 or U is commutative. | ||
| Keywords | ||
| prime ring; R R; lieideal | ||
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