Hilbert basis theorem

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• Hilbert–Speiser theorem — In mathematics, the Hilbert–Speiser theorem is a result on cyclotomic fields, characterising those with a normal integral basis. More generally, it applies to any abelian extension K of the rational field Q . The Kronecker–Weber theorem… …   Wikipedia

• Hilbert-Schmidt theorem — In mathematical analysis, the Hilbert Schmidt theorem, also known as the eigenfunction expansion theorem, is a fundamental result concerning compact, self adjoint operators on Hilbert spaces. In the theory of partial differential equations, it is …   Wikipedia

• Hilbert basis — may refer to * Orthonormal basis * Hilbert basis (linear programming) * Hilbert s basis theorem …   Wikipedia

• Basis theorem — can refer to:* Hilbert s basis theorem, in algebraic geometry * Low basis theorem, in computability theory …   Wikipedia

• Hilbert's basis theorem — In mathematics, Hilbert s basis theorem states that every ideal in the ring of multivariate polynomials over a field is finitely generated. This can be translated into algebraic geometry as follows: every algebraic set over a field can be… …   Wikipedia

• Hilbert's fourteenth problem — In mathematics, Hilbert s fourteenth problem, that is, number 14 of Hilbert s problems proposed in 1900, asks whether certain rings are finitely generated. The setting is as follows: Assume that k is a field and let K be a subfield of the field… …   Wikipedia

• Basis (linear algebra) — Basis vector redirects here. For basis vector in the context of crystals, see crystal structure. For a more general concept in physics, see frame of reference. In linear algebra, a basis is a set of linearly independent vectors that, in a linear… …   Wikipedia

• Hilbert's Nullstellensatz — (German: theorem of zeros, or more literally, zero locus theorem – see Satz) is a theorem which establishes a fundamental relationship between geometry and algebra. This relationship is the basis of algebraic geometry, an important branch of… …   Wikipedia

• Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… …   Wikipedia

• Brouwer-Hilbert controversy — A foundational controversy in twentieth century history of mathematics opposed L. E. J. Brouwer, a supporter of intuitionism, and David Hilbert, the founder of formalism.BackgroundThe background for the controversy was set with David Hilbert s… …   Wikipedia

• David Hilbert — Hilbert redirects here. For other uses, see Hilbert (disambiguation). David Hilbert David Hilbert (1912) Born …   Wikipedia