Homomorphisms of multiplicative groups of fields preserving algebraic dependence

We study homomorphisms of multiplicative groups of fields preserving algebraic dependence and show that such homomorphisms give rise to valuations.

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Veröffentlicht in:arXiv.org 2017-09
Hauptverfasser: Bogomolov, Fedor, Rovinsky, Marat, Tschinkel, Yuri
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creator Bogomolov, Fedor
Rovinsky, Marat
Tschinkel, Yuri
description We study homomorphisms of multiplicative groups of fields preserving algebraic dependence and show that such homomorphisms give rise to valuations.
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subjects Algebra
Group theory
Homomorphisms
title Homomorphisms of multiplicative groups of fields preserving algebraic dependence
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