On the bracket of integrable derivations

Autor: Narváez-Macarro, Luis, Hernández, María de la Paz Tirado
Rok vydání: 2019
Předmět:
Zdroj: Journal of Algebra 574 (2021) 70-91
Druh dokumentu: Working Paper
DOI: 10.1016/j.jalgebra.2021.01.014
Popis: 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.
Databáze: arXiv