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Please use this identifier to cite or link to this item:
http://ir.ncue.edu.tw/ir/handle/987654321/15000
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| Title: | Derivations with Engel and Annihilator Conditions on Multilinear Polynomials |
| Authors: | Liu, Cheng-Kai |
| Contributors: | 數學系 |
| Keywords: | Derivation;Differential identity;GPI;PI;Prime ring |
| Date: | 2005
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| Issue Date: | 2013-01-07T01:43:27Z
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| Publisher: | Taylor&Francis |
| Abstract: | Let R be a prime ring with a nonzero derivation d and let f(X 1,…,X t ) be a multilinear polynomial over C, the extended centroid of R. Suppose that b[d(f(x 1,…,x t )), f(x 1,…,x t )] n = 0 for all x i R, where 0 ≠ b R and n is a fixed positive integer. Then f(X 1,…,X t ) is centrally valued on R unless char R = 2 and dim C RC = 4. We prove a more generalized version by replacing R with a left ideal. |
| Relation: | Communications in Algebra, 33(3): 719-725 |
| Appears in Collections: | [數學系] 期刊論文
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