An Engel condition with X-generalized skew derivations on Lie ideals

作者：de Filippis, Vincenzo; Wei, Feng^*

来源：Communications in Algebra, 2018, 46(12): 5433-5446.

DOI：10.1080/00927872.2018.1469028

• Multilinear polynomial
• prime ring
• X-generalized skew derivation

Motivated by Kosan and Lee's elegant paper and Liu's systematic works, this article is targeted towards the Engel conditions with X-generalize skew derivations on Lie ideals. Let R be a prime ring of characteristic different from 2, Q(r) be its right Martindale quotient ring and C be its extended centroid, F an X-generalized skew derivation of R, L a non-central Lie ideal of R. Then, we describe all possible forms of F satisfying the condition [F(u), u](k) = 0 for all u is an element of L, where k >= 1 is a fixed positive integer.

• 出版日期2018-12-2
• 单位北京理工大学