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Hilbert Basis Theorem


If R is a Noetherian ring, then S=R[X] is also a Noetherian ring.


See also

Algebraic Variety, Fundamental System, Noetherian Ring, Syzygy

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References

Hilbert, D. "Über die Theorie der algebraischen Formen." Math. Ann. 36, 473-534, 1890.

Referenced on Wolfram|Alpha

Hilbert Basis Theorem

Cite this as:

Weisstein, Eric W. "Hilbert Basis Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HilbertBasisTheorem.html

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