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A result on generalized derivations on right ideals of prime rings

✍ Scribed by Ç. Demir, N. Argaç

Book ID
118811644
Publisher
Springer
Year
2012
Tongue
English
Weight
159 KB
Volume
64
Category
Article
ISSN
0041-5995

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On generalized Lie derivations of Lie id
On generalized Lie derivations of Lie ideals of prime algebras
✍ Ping-Bao Liao; Cheng-Kai Liu 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 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 → 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