Definition of Unramified. Meaning of Unramified. Synonyms of Unramified

- f} is formally unramified and if f {\displaystyle f} is also of locally finite presentation we say that f {\displaystyle f} is unramified (see Vakil 2017)...
- In algebraic geometry, an unramified morphism is a morphism f : X → Y {\displaystyle f:X\to Y} of schemes such that (a) it is locally of finite presentation...
- analytically unramified ring is a local ring whose completion is reduced (has no nonzero nilpotent). The following rings are analytically unramified: pseudo-geometric...
- Then the following are equivalent. (i) L / K {\displaystyle L/K} is unramified. (ii) O L / p O L {\displaystyle {\mathcal {O}}_{L}/{\mathfrak {p}}{\mathcal...
- is unramified at all prime ideals in K, so K admits finite abelian extensions of degree greater than 1 in which all finite primes of K are unramified. This...
- technique, now called ramified forcing, is slightly different from the unramified forcing expounded here. Forcing is also equivalent to the method of Boolean-valued...
- {\displaystyle V'=f^{-1}(W')} to W ′ {\displaystyle W'} , that is) is unramified.[clarification needed] Depending on the context, we can take this as local...
- algebra. Any separable extension A / K of commutative rings is formally unramified. The converse holds if A is a finitely generated K-algebra. A separable...
- "injective"), then we get the definition of formally étale (resp. formally unramified). Let S be a scheme and char ⁡ ( S ) {\displaystyle \operatorname {char}...
- notions. A morphism f : X → Y {\displaystyle f:X\to Y} of schemes is unramified if and only if Ω X / Y {\displaystyle \Omega _{X/Y}} is zero. A special...