An undecidability result for power series rings of positive characteristic

Author:
Thanases Pheidas

Journal:
Proc. Amer. Math. Soc. **99** (1987), 364-366

MSC:
Primary 03D35; Secondary 12L05, 13L05

MathSciNet review:
870802

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Abstract: We prove that the existential theory of a power series ring in one variable over an integral domain of positive characteristic, with cross section, is undecidable whenever does not contain an such that . For example, the result is valid if (the -element field where is a prime).

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DOI:
https://doi.org/10.1090/S0002-9939-1987-0870802-X

Article copyright:
© Copyright 1987
American Mathematical Society