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- Title
On Lie ideals with generalized derivations and power values on prime rings.
- Authors
Ansari, Abu Zaid; ur Rehman, Nadeem; Shujat, Faiza
- Abstract
Let R be a non-commutative prime ring of characteristic different from 2, U,C,L and H denote, the Utumi quotients ring, the extended centroid, a non-central Lie ideal, a nonzero generalized derivation of R respectively. If [H(u), u]n = [H(u), u]m for all u ∈ L, with 1 < n 6= m = 1, then one of the following holds: (i) R satisfies the standard identity s4, in four non-commutating variables and there exist α ∈ U and α ∈ C such that H(r) = ar + ra + αr for all r ∈ R, (ii) there exists λ ∈ C such that H(r) = λr for all r ∈ R.
- Subjects
NONCOMMUTATIVE rings; QUOTIENT rings; COMMUTATIVE rings; CENTROID
- Publication
Palestine Journal of Mathematics, 2023, Vol 12, Issue 3, p194
- ISSN
2219-5688
- Publication type
Article