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arXiv · 1912.11635

On the bracket of integrable derivations

Luis Narváez-Macarro·María de la Paz Tirado Hernández
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Abstract

We prove that any multi-variate Hasse-Schmidt derivation can be decomposed in terms of substitution maps and uni-variate Hasse-Schmidt derivations. As a consequence we prove that the bracket of two $m$-integrable derivations is also $m$-integrable, for $m$ a positive integer or infinity.

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Luis Narváez-Macarro, María de la Paz Tirado Hernández. 2021-07-17. On the bracket of integrable derivations. https://doi.org/10.1016/j.jalgebra.2021.01.014

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