TY - JOUR
T1 - An Engel condition with X-generalized skew derivations on Lie ideals
AU - de Filippis, Vincenzo
AU - Wei, Feng
N1 - Publisher Copyright:
© 2018, © 2018 Taylor & Francis Group, LLC.
PY - 2018/12/2
Y1 - 2018/12/2
N2 - 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 ∈ L, where k ≤ 1 is a fixed positive integer.
AB - 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 ∈ L, where k ≤ 1 is a fixed positive integer.
KW - Multilinear polynomial
KW - X-generalized skew derivation
KW - prime ring
UR - http://www.scopus.com/inward/record.url?scp=85055711893&partnerID=8YFLogxK
U2 - 10.1080/00927872.2018.1469028
DO - 10.1080/00927872.2018.1469028
M3 - Article
AN - SCOPUS:85055711893
SN - 0092-7872
VL - 46
SP - 5433
EP - 5446
JO - Communications in Algebra
JF - Communications in Algebra
IS - 12
ER -