Identities with Generalized Skew Derivations on Lie Ideals
✍ Scribed by Vincenzo De Filippis, Ajda Fošner, Feng Wei
- Book ID
- 120965822
- Publisher
- Springer Netherlands
- Year
- 2012
- Tongue
- English
- Weight
- 384 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1386-923X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We solve affirmatively a problem, raised by Kharchenko, on identities with compositions of skew derivations: We define the notion of trivial identities with compositions of skew derivations, which is unique in a certain sense. It is proved that if a prime ring R satisfies a nontrivial identity with
Let A be a prime algebra of characteristic not 2 with extended centroid C, let R be a noncentral Lie ideal of A and let B be the subalgebra of A generated by R. If f , d : R → A are linear maps satisfying that f ([x, y]) = f (x)yf (y)x + xd(y)yd(x) for all x, y ∈ R, then there exist a generalized de