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'''Hilbert's theorem''' may refer to:
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* [[Hilbert's theorem (differential geometry)]], stating there exists no complete regular surface of constant negative gaussian curvature immersed in <math>\mathbb{R}^{3}</math>
* [[Hilbert's Theorem 90]], an important result on cyclic extensions of fields that leads to Kummer theory
* [[Hilbert's basis theorem]], in commutative algebra, stating every ideal in the ring of multivariate polynomials over a Noetherian ring is finitely generated
* [[Hilbert's irreducibility theorem]], in number theory, concerning irreducible polynomials
* [[Hilbert's Nullstellensatz]], the basis of abstract algebra, establishing a fundamental relationship between geometry and algebra
* [[Hilbert's syzygy theorem]], a result of commutative algebra in connection with the syzygy problem of invariant theory
{{disambiguation}}

Latest revision as of 13:00, 21 September 2014

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