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Results tagged with derivations
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user 128502
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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Accepted
An identity in Lie algebras over fields of positive characteristic
Yes, this identity holds, and both sides are equal to $-D^p(x^p)$.
We need the following facts, all of which are straightforward to verify, where $D$ is an arbitrary derivation, still working over ch …
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