Geodesic
A Commutativity Theorem for Division Rings
Canadian mathematical bulletin, Tome 23 (1980) no. 2, pp. 241-243

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DOI

Let D be a division ring with center Z. Suppose for all xεD, there exists a monic polynomial, fx(t), with integer coefficients such that fx(x)εZ. Then D is commutative. 
Richoux, Anthony. A Commutativity Theorem for Division Rings. Canadian mathematical bulletin, Tome 23 (1980) no. 2, pp. 241-243. doi: 10.4153/CMB-1980-033-7
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     author = {Richoux, Anthony},
     title = {A {Commutativity} {Theorem} for {Division} {Rings}},
     journal = {Canadian mathematical bulletin},
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     year = {1980},
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     number = {2},
     doi = {10.4153/CMB-1980-033-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-033-7/}
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