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A result on generalized derivations on Lie ideals in prime rings

✍ Scribed by B. Dhara, S. Kar, S. Mondal


Book ID
120722420
Publisher
Springer-Verlag
Year
2012
Tongue
English
Weight
142 KB
Volume
54
Category
Article
ISSN
0138-4821

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On generalized Lie derivations of Lie id
✍ Ping-Bao Liao; Cheng-Kai Liu πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 136 KB

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 β†’ 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