@article{Alshanqiti2024, 
author = {Omaima Alshanqiti and Ashutosh Pandey and Mani Shankar Pandey},
title = {A characterization of  b-generalized skew derivations on a Lie ideal in a prime ring},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {12},
pages = {34184-34204},
keywords = {prime rings, Lie ideals, right Martindale quotient ring, b-generalized skew derivation, extended centroid},
url = {https://www.sciopen.com/article/10.3934/math.20241628},
doi = {10.3934/math.20241628},
abstract = {This paper investigates the analysis of  b-generalized skew derivations, denoted as  Δ1 and  Δ2, within a prime ring  R with characteristic different from 2. Here,  Qr represents the right Martindale quotient ring of  R, and  C denoted its extended centroid. Additionally,  L is a noncentral Lie ideal of  R. Assuming  Δ1 and  Δ2 are nontrivial  b-generalized skew derivations associated with the same automorphism  α, the paper aims to explore the detailed structure of these generalized derivations that satisfy the specific equation:   puΔ1(u)+Δ1(u)uq=Δ2(u2),withp+q∉C,for allu∈L.The above-studied result generalized the already existing results [1,2] in the literature.}
}