| Autor: |
K. I. Beidar, M. Bresar, M. A. Chebotar, W. S. Martindale III |
| Předmět: |
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| Zdroj: |
Transactions of the American Mathematical Society; Oct2001, Vol. 353 Issue 10, p4235-4260, 26p |
| Abstrakt: |
We describe surjective Lie homomorphisms from Lie ideals of skew elements of algebras with involution onto noncentral Lie ideals (factored by their centers) of skew elements of prime algebras ${\mathcal{D}}$ with involution, provided that $\operatorname{char}({\mathcal{D}})\not=2$ and ${\mathcal{D}}$ is not PI of low degree. This solves the last remaining open problem of Herstein on Lie isomorphisms module cases of PI rings of low degree. A more general problem on maps preserving any polynomial is also discussed. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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