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Results tagged with model-theory
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user 547731
Model theory is the branch of mathematical logic which deals with the connection between a formal language and its interpretations, or models.
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Morphisms of the additive group of a field of finite Morley rank
It is well-known that a definable field of finite Morley rank has no proper definable group of automorphisms (a proof can be found for example in the book "Stable groups" of Poizat). My question is: c …
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Morphisms of the additive group of a field of finite Morley rank
Problem solved, they are exactly the automorphisms $\psi$ of $K$ such that $\psi(H)=H$. Indeed $K=\langle H\rangle_+$ (since $H^0$ is indecomposable) and so $\psi(xy)=\psi(x)\psi(y)$ for any $x,y\in K …