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- handle: 10670/1.1y34l0
- Bélair, Luc (2009). « Approximation for Frobenius algebraic equations in Witt vectors ». Journal of Algebra, 321(9), pp. 2353-2364.
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doi:10.1016/j.jalgebra.2009.01.021
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Luc Bélair, « Approximation for Frobenius algebraic equations in Witt vectors », UQAM Archipel : articles scientifiques, ID : 10670/1.1y34l0
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We prove an approximation property for solutions to difference equations in excellent discrete valuation rings satisfying an appropriate Hensel's lemma, analog to a theorem of Greenberg [M. Greenberg, Rational points in henselian discrete valuation rings, Publ. Math. Inst. Hautes Études Sci. 31 (1966) 59–64]. In the case of Witt vectors we obtain a Nullstellensatz for Frobenius algebraic equations.