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.
[1][2] 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.
[3][4] This abstract algebra-related article is a stub.