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arxiv: 1612.01702 · v1 · pith:HCSWRFN5new · submitted 2016-12-06 · 🧮 math.AC

On the irreducibility of multivariate polynomials

classification 🧮 math.AC
keywords irreducibilitymultivariatepolynomialsarbitrarycriterionfieldgivehenselian
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Let (K, v) be a henselian valued field of arbitrary rank. In this paper, we give an irreducibility criterion for multivariate polynomials over K using valuation theory.

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