An existential 0-definition of F_q[[t]] in F_q((t))

An existential 0-definition of F_q[[t]] in F_q((t))

We show that the valuation ring F_q[[t]] in the local field F_q((t)) is existentially definable in the language of rings with no parameters. The method is to use the definition of the henselian topology following the work of Prestel-Ziegler to give an existential-F_q-definable bounded neighbouhood o...

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Bibliografiske detaljer
Main Authors:	Anscombe, W, Koenigsmann, J
Format:	Journal article
Udgivet:	2013

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