Eigenvector p-Bases of Rings of Constants of Derivations |
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Authors: | Piotr Je¸drzejewicz |
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Affiliation: | 1. Faculty of Mathematics and Computer Science , Nicolaus Copernicus University , Toruń, Poland pjedrzej@mat.uni.torun.pl |
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Abstract: | Let A be a UFD of characteristic p > 0, let 𝒵 be a set of some eigenvectors of a derivation of A. We prove, under some additional assumptions, a necessary and sufficient condition for 𝒵 to be a p-basis of the minimal ring of constants containing 𝒵. The main preparatory result is the unique decomposition theorem with respect to a factor from a given subalgebra containing Ap. |
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Keywords: | Derivation p-basis Ring of constants UFD |
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