On the nonexistence of hypercommuting polynomials
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- by Amos Kovacs PDF
- Proc. Amer. Math. Soc. 66 (1977), 241-246 Request permission
Abstract:
If $f({x_1}, \ldots ,{x_n})$ is not central for R, then the additive group generated by all specializations of f in R contains a noncentral Lie ideal of R. This is used, among other things, to prove: Theorem. Let R be a semiprime algebra over an infinite field, ${f_1}, \ldots ,{f_t}$ polynomials in disjoint sets of variables all noncentral for R. Then, if R satisfies ${S_t}[{f_1}, \ldots ,{f_t}]$, R must satisfy ${S_t}[{x_1}, \ldots ,{x_t}]$.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 66 (1977), 241-246
- MSC: Primary 16A38; Secondary 13F20
- DOI: https://doi.org/10.1090/S0002-9939-1977-0453803-9
- MathSciNet review: 0453803