An undecidability result for power series rings of positive characteristic
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- by Thanases Pheidas
- Proc. Amer. Math. Soc. 99 (1987), 364-366
- DOI: https://doi.org/10.1090/S0002-9939-1987-0870802-X
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Abstract:
We prove that the existential theory of a power series ring in one variable over an integral domain $F$ of positive characteristic, with cross section, is undecidable whenever $F$ does not contain an $e$ such that ${e^p} - e = 1$. For example, the result is valid if $F = {Z_p}$ (the $p$-element field where $p$ is a prime).References
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Bibliographic Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 99 (1987), 364-366
- MSC: Primary 03D35; Secondary 12L05, 13L05
- DOI: https://doi.org/10.1090/S0002-9939-1987-0870802-X
- MathSciNet review: 870802