Displaying similar documents to “On the ring of constants for derivations of power series rings in two variables”

The Abhyankar-Jung theorem for excellent henselian subrings of formal power series

Krzysztof Jan Nowak (2010)

Annales Polonici Mathematici

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Given an algebraically closed field K of characteristic zero, we prove the Abhyankar-Jung theorem for any excellent henselian ring whose completion is a formal power series ring K[[z]]. In particular, examples include the local rings which form a Weierstrass system over the field K.

Local derivations in polynomial and power series rings

Janusz Zieliński (2002)

Colloquium Mathematicae

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We give a description of all local derivations (in the Kadison sense) in the polynomial ring in one variable in characteristic two. Moreover, we describe all local derivations in the power series ring in one variable in any characteristic.