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Henselianity and the language of rings

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Anscombe, S and Jahnke, F (2015) Henselianity and the language of rings. Arxiv.org .

[thumbnail of 13313_1512.04588v1.pdf] PDF - Published Version
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Official URL: http://arxiv.org/pdf/1512.04588.pdf

Abstract

We consider four properties of a field K related to the existence of (de-finable) henselian valuations on K and on elementarily equivalent fields and study the implications between them. Surprisingly, the full pictures look very different in equichar-acteristic and mixed characteristic.


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