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Generalized derivations and left multipliers on Lie ideals

✍ Scribed by Basudeb Dhara; Vincenzo De Filippis; Rajendra K. Sharma

Publisher
Springer
Year
2011
Tongue
English
Weight
194 KB
Volume
81
Category
Article
ISSN
0001-9054

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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