✦ LIBER ✦

On a property of ideals of free Lie algebras

✍ Scribed by V. A. Parfenov

Book ID: 112451412
Publisher: SP MAIK Nauka/Interperiodica
Year: 1970
Tongue: English
Weight: 354 KB
Volume: 10
Category: Article
ISSN: 0037-4466
DOI: 10.1007/bf00973875

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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 → 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