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On Behavior of Solvable Ideals of Lie Algebras Under Outer Derivations

โœ Scribed by Petravchuk, Anatoliy P.

Book ID
111938634
Publisher
Taylor and Francis Group
Year
2010
Tongue
English
Weight
38 KB
Volume
38
Category
Article
ISSN
0092-7872

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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 โ†’ A are linear maps satisfying that f ([x, y]) = f (x)yf (y)x + xd(y)yd(x) for all x, y โˆˆ R, then there exist a generalized de