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Proceedings of the American Mathematical Society

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Height one differential ideals in polynomial rings


Author: Matthew S. Chen
Journal: Proc. Amer. Math. Soc. 86 (1982), 561-566
MSC: Primary 13N05; Secondary 13F20
DOI: https://doi.org/10.1090/S0002-9939-1982-0674081-3
MathSciNet review: 674081
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Abstract: Let $ D$ be a derivation of a polynomial ring $ k[{X_1}, \ldots ,{X_n}]$ with $ k$ a field of characteristic 0 and $ Dk = \{ 0\} $. If infinitely many principal prime ideals $ (f)$ satisfy $ Df \in (f)$, then every maximal ideal contains such an $ (f)$.


References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/S0002-9939-1982-0674081-3
Article copyright: © Copyright 1982 American Mathematical Society