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Hilbert Basis Theorem




Hilbert produced an innovative proof by contradiction using .

A slightly more general statement of Hilbert's basis theorem is: if ''R'' is a left (respectively right) Noetherian Ring , then the Polynomial Ring ''R'' {Link without Title} is also left (respectively right) Noetherian.

The Mizar Project has completely formalized and automatically checked a proof of Hilbert's basis theorem in the HILBASIS file .


REFERENCES


  • Cox, Little, and O'Shea, ''Ideals, Varieties, and Algorithms'', Springer-Verlag, 1997.