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Field Extensions

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Part of the Graduate Texts in Mathematics book series (GTM,volume 242)

Fields are our third major algebraic structure. Their history may be said to begin with Dedekind [1871], who formulated the first clear definition of a field, albeit limited to fields of algebraic numbers. Steinitz [1910] wrote the first systematic abstract treatment. Today’s approach is basically due to Artin, on whose lectures van der Waerden’s Moderne Algebra [1930] is partly based.

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(2007). Field Extensions. In: Abstract Algebra. Graduate Texts in Mathematics, vol 242. Springer, New York, NY. https://doi.org/10.1007/978-0-387-71568-1_4

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