Products of derivations which act as Lie derivations on commutators of right ideals
Let R be a prime ring of characteristic different from 2, I a nonzero right ideal of R, d and δ nonzero derivations of R, and s4(x1,x2,x3,x4) the standard identity of degree 4. If the composition (dδ) is a Lie derivation of [I,I] into R, then either s4(I,I,I,I)I=0 or δ(I)I=d(I)I=0.
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/53145 |
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