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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, Syzygy


References

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




© 1996-9 Eric W. Weisstein
1999-05-25