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purely inseparable extension

См. также в других словарях:

  • Extension radicielle — Dans la théorie des extensions de corps, à l opposé des extensions algébriques séparables, il existe les extensions radicielles. C est un phénomène spécifique à la caractéristique positive et qui apparaît naturellement avec les corps de fonctions …   Wikipédia en Français

  • Separable extension — In mathematics, an algebraic field extension L / K is separable if it can be generated by adjoining to K a set each of whose elements is a root of a separable polynomial over K . In that case, each beta; in L has a separable minimal polynomial… …   Wikipedia

  • Artin-Schreier theory — See Artin Schreier theorem for theory about real closed fields. In mathematics, Artin Schreier theory is a branch of Galois theory, and more specifically is a positive characteristic analogue of Kummer theory, for extensions of degree equal to… …   Wikipedia

  • ДИФФЕРЕНЦИРОВАНИЕ — кольца отображение дкольца Rв себя, ( являющееся эндоморфизмом аддитивной группы кольца Rи удовлетворяющее соотношению Пусть М левый R модуль. Дифференцированием кольца Л со значениями в Мназ. гомоморфизм соответствующих аддитивных групп,… …   Математическая энциклопедия

  • Separable polynomial — In mathematics, two slightly different notions of separable polynomial are used, by different authors. According to the most common one, a polynomial P(X) over a given field K is separable if all its roots are distinct in an algebraic closure of… …   Wikipedia

  • Tensor product of fields — In abstract algebra, the theory of fields lacks a direct product: the direct product of two fields, considered as a ring is never itself a field. On the other hand it is often required to join two fields K and L, either in cases where K and L are …   Wikipedia

  • Perfect field — In algebra, a field k is said to be perfect if any one of the following equivalent conditions holds: Every irreducible polynomial over k has distinct roots. Every polynomial over k is separable. Every finite extension of k is separable. (This… …   Wikipedia

  • Resolution of singularities — Strong desingularization of Observe that the resolution does not stop after the first blowing up, when the strict transform is smooth, but when it is simple normal crossings with the exceptional divisors. In algebraic geometry, the problem of… …   Wikipedia

  • Radicial morphism — In algebraic geometry, a domain in mathematics, a morphism of schemes: f : X rarr; Y is called radicial or universally injective, if, for every g : Y rarr; Y the pullback of f along g is injective.This is equivalent to the following condition:… …   Wikipedia

  • Europe, history of — Introduction       history of European peoples and cultures from prehistoric times to the present. Europe is a more ambiguous term than most geographic expressions. Its etymology is doubtful, as is the physical extent of the area it designates.… …   Universalium

  • arts, East Asian — Introduction       music and visual and performing arts of China, Korea, and Japan. The literatures of these countries are covered in the articles Chinese literature, Korean literature, and Japanese literature.       Some studies of East Asia… …   Universalium

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