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Please use this identifier to cite or link to this item:
http://ir.ncue.edu.tw/ir/handle/987654321/15020
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| Title: | Strong Commutativity Preserving Generalized Derivations on Lie Ideals |
| Authors: | Liu, Cheng-Kai;Liau, Pao-Kuei |
| Contributors: | 數學系 |
| Keywords: | Prime ring;Generalized derivation;Strong commutativity preserving |
| Date: | 2011
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| Issue Date: | 2013-01-07T01:44:08Z
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| Publisher: | Taylor&Francis |
| Abstract: | We apply elementary matrix computations and the theory of differential identities to prove the following: let R be a prime ring with extended centroid C and L a noncommutative Lie ideal of R. Suppose that f : L → R is a map and g is a generalized derivation of R such that [f(x), g(y)] = [x, y] for all x, y L. Then there exist a nonzero α C and a map μ : L → C such that g(x) = αx for all x R and f(x) = α−1 x + μ(x) for all x L, except when R M 2(F), the 2 × 2 matrix ring over a field F. |
| Relation: | Linear and Multilinear Algebra, 59(8): 905-915 |
| Appears in Collections: | [數學系] 期刊論文
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Size | Format | |
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| 2020101910021.pdf | 44Kb | Adobe PDF | 345 | View/Open |
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