Перевод: с английского на русский

с русского на английский

field extension

См. также в других словарях:

  • 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

  • Degree of a field extension — In mathematics, more specifically field theory, the degree of a field extension is a rough measure of the size of the extension. The concept plays an important role in many parts of mathematics, including algebra and number theory indeed in any… …   Wikipedia

  • Dual basis in a field extension — In mathematics, the linear algebra concept of dual basis can be applied in the context of a finite extension L/K, by using the field trace. This requires the property that the field trace TrL/K provides a non degenerate quadratic form over K.… …   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 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

  • Extension and contraction of ideals — In commutative algebra, the extension and contraction of ideals are operations performed on sets of ideals. Extension of an ideal Let A and B be two commutative rings with unity, and let f : A → B be a (unital) ring homomorphism. If mathfrak{a}… …   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 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

Поделиться ссылкой на выделенное

Прямая ссылка:
Нажмите правой клавишей мыши и выберите «Копировать ссылку»