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Generalized derivations as Jordan homomorphisms on lie ideals and right ideals

✍ Scribed by Vincenzo de Filippis

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2009
Tongue
English
Weight
191 KB
Volume
25
Category
Article
ISSN
1439-7617

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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 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