Local derivations in polynomial and power series rings

Janusz Zieliński

Displaying similar documents to “Local derivations in polynomial and power series rings”

A Note on Posner s Theorem with Generalized Derivations on Lie Ideals

Vincenzo De Filippis, M. S. Tammam El-Sayiad (2009)

Rendiconti del Seminario Matematico della Università di Padova

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On the ring of constants for derivations of power series rings in two variables

Leonid Makar-Limanov, Andrzej Nowicki (2001)

Colloquium Mathematicae

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Let k[[x,y]] be the formal power series ring in two variables over a field k of characteristic zero and let d be a nonzero derivation of k[[x,y]]. We prove that if Ker(d) ≠ k then Ker(d) = Ker(δ), where δ is a jacobian derivation of k[[x,y]]. Moreover, Ker(d) is of the form k[[h]] for some h ∈ k[[x,y]].

Generalized Derivations with Power Central Values on Multilinear Polynomials on Right Ideals

Nurcan Argaç, Vincenzo De Filippis, H. G. Inceboz (2008)

Rendiconti del Seminario Matematico della Università di Padova

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A Note on Skew Polynomial Rings

Michael G. Voskoglou (1994)

Publications de l'Institut Mathématique

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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.