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Field Extensions and the Hilbert Nullstellensatz

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Gröbner Bases

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 141))

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Abstract

We have now reached a point in the theory of polynomial ideals where some classical results concerning field extensions are needed. Throughout this section, K will be a field, and until further notice K′ will be an extension field of K, meaning of course that K is a subfield of K′.

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© 1993 Springer Science+Business Media New York

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Becker, T., Weispfenning, V. (1993). Field Extensions and the Hilbert Nullstellensatz. In: Gröbner Bases. Graduate Texts in Mathematics, vol 141. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0913-3_8

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  • DOI: https://doi.org/10.1007/978-1-4612-0913-3_8

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6944-1

  • Online ISBN: 978-1-4612-0913-3

  • eBook Packages: Springer Book Archive

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