Hyper-finite field
id:
hyper-finite-field-196-4840369
title:
Hyper-finite field
text:
In mathematics, a hyper-finite field is an uncountable field similar in many ways to finite fields. More precisely a field F is called hyper-finite if it is uncountable and quasi-finite, and for every subfield E, every absolutely entire E-algebra of smaller cardinality than F can be embedded in F. They were introduced by Ax (1968). Every hyper-finite field is a pseudo-finite field, and is in particular a model for the first-order theory of finite fields.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Hyper-finite_field
date created:
date modified:
2020-06-25T07:30:51Z
main entity:
{"identifier":"Q5957542","url":"https://www.wikidata.org/entity/Q5957542"}
image:
fields total:
13
integrity:
13