Radicial morphism
id:
radicial-morphism-248-3322171
title:
Radicial morphism
text:
In algebraic geometry, a morphism of schemes is called radicial or universally injective, if, for every field K the induced map X(K) → Y(K) is injective. (EGA I, (3.5.4)) This is a generalization of the notion of a purely inseparable extension of fields (sometimes called a radicial extension, which should not be confused with a radical extension.) It suffices to check this for K algebraically closed. This is equivalent to the following condition: f is injective on the topological spaces and for
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Radicial_morphism
date created:
date modified:
2021-05-24T04:56:04Z
main entity:
{"identifier":"Q17099707","url":"https://www.wikidata.org/entity/Q17099707"}
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fields total:
13
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13