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Fields as algebraic objects. For vector and tensor fields, use eg. [dg.differential-geometry]. For physical fields, use eg. [mp.mathematical-physics] or [quantum-field-theory].
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Morphisms of the additive group of a field of finite Morley rank
Green fields of finite characteristic are unlikely to exist but I didn't find a proof of the non-existence of them. …
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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 …