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Characterization of the centrally finite Amitsur-Small division rings

Paran, Elad
arXiv (All) · Papers
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rings-and-algebras
In 1978, Amitsur and Small asked whether, for every division ring $D$, maximal left ideals of $D[x_1,\ldots,x_n]$ contract to maximal left ideals in smaller polynomial subrings. Chapman and the author showed that the answer is negative in general and called $D$ an Amitsur-Small ring when this contra
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