On generalized Lie derivations of Lie id
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Ping-Bao Liao; Cheng-Kai Liu
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Article
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2009
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Elsevier Science
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English
β 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 β R, then there exist a generalized de