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Fundamental System

A set of Algebraic Invariants for a Quantic such that any invariant of the Quantic is expressible as a Polynomial in members of the set. In 1868, Gordan proved the existence of finite fundamental systems of algebraic invariants and covariants for any binary Quantic. In 1890, Hilbert (1890) proved the Hilbert Basis Theorem, which is a finiteness theorem for the related concept of Syzygies.

See also Hilbert Basis Theorem, Syzygy


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

© 1996-9 Eric W. Weisstein