# Constants of cyclotomic derivations

```@article{Ollagnier2013ConstantsOC,
title={Constants of cyclotomic derivations},
author={Jean Moulin Ollagnier and Andrzej Nowicki},
journal={Journal of Algebra},
year={2013},
volume={394},
pages={92-119}
}```
• Published 26 January 2013
• Mathematics
• Journal of Algebra
1 Citations
Rings and fields of constants of cyclic factorizable derivations
We present a survey of the research on rings of polynomial constants and fields of rational constants of cyclic factorizable derivations in polynomial rings over fields of characteristic zero. 1.

## References

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Let k[x1,….,xn] be the polynomial ring in n  3 variables over a field k of characteristic zero, and let  be the factorisable derivation of k[x1,…., xn] defined by (xi) = xi(S - xi); for i = 1,….,
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• Mathematics
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