# extension field

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**extension field**— Math. a field that contains a given field as a subfield … Useful english dictionary**Field extension**— In abstract algebra, field extensions are the main object of study in field theory. The general idea is to start with a base field and construct in some manner a larger field which contains the base field and satisfies additional properties. For… … Wikipedia**Extensión agraria**— Saltar a navegación, búsqueda Extensión agraria en Laos, 2006 El concepto de Extensión agraria hace referencia a la aplicación de la investigación científica y los nuevos conocimientos a las prácticas agrarias a través de la educación a … Wikipedia Español**Glossary of field theory**— Field theory is the branch of mathematics in which fields are studied. This is a glossary of some terms of the subject. (See field theory (physics) for the unrelated field theories in physics.) Definition of a field A field is a commutative ring… … Wikipedia**Field (mathematics)**— This article is about fields in algebra. For fields in geometry, see Vector field. For other uses, see Field (disambiguation). In abstract algebra, a field is a commutative ring whose nonzero elements form a group under multiplication. As such it … Wikipedia**Extension (mathematics)**— In mathematics, the word extension has many uses. See:Analysis* Carathéodory s extension theorem * Continuous linear extension * M. Riesz extension theorem * Krein extension theorem * Hahn Banach theoremAlgebra* Abelian extension * Algebraic… … Wikipedia**Field of definition**— In mathematics, the field of definition of an algebraic variety V is essentially the smallest field to which the coefficients of the polynomials defining V can belong. Given polynomials, with coefficients in a field K , it may not be obvious… … Wikipedia**field**— Synonyms and related words: DMZ, academic discipline, academic specialty, aceldama, achievement, acreage, aerodrome, agora, air base, airdrome, airfield, airport, alerion, ambit, amphitheater, ample scope, animal charge, annulet, answer,… … Moby Thesaurus**Field norm**— In mathematics, the (field) norm is a mapping defined in field theory, to map elements of a larger field into a smaller one. Contents 1 Formal definitions 2 Example 3 Further properties 4 See also … Wikipedia**Field trace**— In mathematics, the field trace is a linear mapping defined for certain field extensions. If L / K is a finite Galois extension, it is defined for α in L as the sum of all the conjugates: g (α)of α, for g in the Galois group G of L over K . It is … Wikipedia