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Valuations and henselization

Paramio, Ana Belén de Felipe et al.
arXiv (All) · Papers
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algebraic-geometrycommutative-algebra
We study the extension of valuations centered in a local domain to its henseliza-tion. We prove that a valuation $ν$ centered in a local domain R uniquely determines a minimal prime H($ν$) of the henselization R h of R and an extension of $ν$ centered in R h /H($ν$), which has the same value group a
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