An undecidability result for power series rings of positive characteristic. II

Pheidas, Thanases

doi:10.1090/S0002-9939-1987-0891158-2

An undecidability result for power series rings of positive characteristic. II
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Proc. Amer. Math. Soc. 100 (1987), 526-530 Request permission

Abstract:

We prove that the existential problem for a power series ring over an integral domain of positive characteristic with a predicate which represents the powers of the indeterminate is undecidable. We prove the same result for any ring which is contained in a power series ring and contains the corresponding ring of polynomials.

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