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embedding of field

См. также в других словарях:

  • Embedding — In mathematics, an embedding (or imbedding) is one instance of some mathematical structure contained within another instance, such as a group that is a subgroup.When some object X is said to be embedded in another object Y , the embedding is… …   Wikipedia

  • Embedding problem — In Galois theory, a branch of mathematics, the embedding problem is a generalization of the inverse Galois problem. Roughly speaking, it asks whether a given Galois extension can be embedded into a Galois extension in such a way that the… …   Wikipedia

  • Field of fractions — In mathematics, every integral domain can be embedded in a field; the smallest field which can be used is the field of fractions or field of quotients of the integral domain. The elements of the field of fractions of the integral domain R have… …   Wikipedia

  • Field arithmetic — In mathematics, field arithmetic is a subject that studies the interrelations between arithmetic properties of a ql|field (mathematics)|field and its absolute Galois group.It is an interdisciplinary subject as it uses tools from algebraic number… …   Wikipedia

  • Algebraic number field — In mathematics, an algebraic number field (or simply number field) F is a finite (and hence algebraic) field extension of the field of rational numbers Q. Thus F is a field that contains Q and has finite dimension when considered as a vector… …   Wikipedia

  • Hilbert class field — In algebraic number theory, the Hilbert class field E of a number field K is the maximal abelian unramified extension of K . Its degree over K equals the class number of K and the Galois group of E over K is canonically isomorphic to the ideal… …   Wikipedia

  • CM-field — In mathematics, a CM field is a particular type of number field K , so named for a close connection to the theory of complex multiplication. Another name used is J field . Specifically, K is a totally imaginary quadratic extension of a totally… …   Wikipedia

  • Segre embedding — In mathematics, the Segre embedding is used in projective geometry to consider the cartesian product of two or more projective spaces as a projective variety. It is named after Corrado Segre. Contents 1 Definition 2 Discussion 3 Properties …   Wikipedia

  • Plücker embedding — In the mathematical fields of algebraic geometry and differential geometry (as well as representation theory), the Plücker embedding describes a method to realise the Grassmannian of all k dimensional subspaces of a vector space V , such as R n… …   Wikipedia

  • Vector field reconstruction — [ [http://prola.aps.org/pdf/PRE/v51/i5/p4262 1 Global Vector Field Reconstruction from a Chaotic Experimental Signal in Copper Electrodissolution.] Letellier C, Le Sceller L , Maréchal E, Dutertre P, Maheu B, Gouesbet G, Fei Z, Hudson JL.… …   Wikipedia

  • Totally real number field — In number theory, a number field K is called totally real if for each embedding of K into the complex numbers the image lies inside the real numbers. Equivalent conditions on K , a finite extension of the rational number field Q, are that K is… …   Wikipedia

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