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A derivation on a ring 𝑅 is a map 𝐷:𝑅→𝑅 satisfying 𝐷(𝑎+𝑏)=𝐷(𝑎)+𝐷(𝑏) and 𝐷(𝑎𝑏)=𝑎𝐷(𝑏)+𝐷(𝑎)𝑏.

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Lie algebra of derivations for a transcendental field extension and intersection fields

(Here ${\rm Der}_K(L)$ is the Lie algebra of derivations of $L$ over $K$.) …
Harm Derksen's user avatar