Extending Fields

Sidney A. Morris,Arthur Jones, Kenneth R. Pearson

msra（2022）

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摘要

If is a subfield of ℂ and α is a complex number which is algebraic over , we show how to construct a certain vector space which contains α and which satisfies . This vector space is then shown to be a subfield of ℂ. Thus, from the field and the number α, we have produced a larger field .

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