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Gröbner Bases

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Commutative Algebra

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 150))

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Abstract

We shall work throughout this chapter with a polynomial ring S = k[x1, …, x r ] over a field k. The elements of k will be called scalars. All S-modules mentioned will be assumed finitely generated.

Man kann dieses Verfahren dazu beniitzen, den Restkalssenring eines nulldimensionalen Polynomideals wirklich zu berechnen ... .

(One can use this process to actually compute a zero-dimensional residue class ring of a polynomial ring ... .)

—W. Gröbner [1939]

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© 1995 Springer-Verlag New York, Inc.

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Eisenbud, D. (1995). Gröbner Bases. In: Commutative Algebra. Graduate Texts in Mathematics, vol 150. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5350-1_17

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  • DOI: https://doi.org/10.1007/978-1-4612-5350-1_17

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-3-540-78122-6

  • Online ISBN: 978-1-4612-5350-1

  • eBook Packages: Springer Book Archive

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