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A technical mathematical object defined in terms of a Polynomial Ring of $n$ variables over a Field $k$.

See also Fundamental System, Hilbert Basis Theorem, Syzygies Problem


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

Iyanaga, S. and Kawada, Y. (Eds.). ``Syzygy Theory.'' §364F in Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 1140, 1980.

© 1996-9 Eric W. Weisstein