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Hilbert's theorem : ウィキペディア英語版 | Hilbert's theorem Hilbert's theorem may refer to: * Hilbert's theorem (differential geometry), stating there exists no complete regular surface of constant negative gaussian curvature immersed in * 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
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