purely inseparable morphism

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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
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
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

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