Abstract
Both for their own sake and for applications to the case of finite extensions of the rational numbers, one is led to deal with ground fields which are function fields, i.e. finitely generated over some field k, possibly by elements which are not algebraic. This chapter gives some basic properties of such fields.
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Bibliography
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Lang, S. (2002). Transcendental Extensions. In: Algebra. Graduate Texts in Mathematics, vol 211. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0041-0_8
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DOI: https://doi.org/10.1007/978-1-4613-0041-0_8
Publisher Name: Springer, New York, NY
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