Artin–Zorn theorem

id: artin-zorn-theorem-172-17312671
title: Artin–Zorn theorem
text: In mathematics, the Artin–Zorn theorem, named after Emil Artin and Max Zorn, states that any finite alternative division ring is necessarily a finite field. It was first published in 1930 by Zorn, but in his publication Zorn credited it to Artin. The Artin–Zorn theorem is a generalization of the Wedderburn theorem, which states that finite associative division rings are fields. As a geometric consequence, every finite Moufang plane is the classical projective plane over a finite field.
brand slug: wiki
category slug: encyclopedia
description: Mathematical result
original url: https://en.wikipedia.org/wiki/Artin%E2%80%93Zorn_theorem
date created: 2007-12-21T05:30:19Z
date modified: 2024-09-01T22:47:02Z
main entity: {"identifier":"Q2558669","url":"https://www.wikidata.org/entity/Q2558669"}
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fields total: 13
integrity: 15

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