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Results tagged with derivations
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user 136113
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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Locally nilpotent derivations on rings with zero divisors
However, each paper about locally nilpotent derivations (that I know) suppose the ring is a domain. … Question: what happens with rings containing zero divisors and the study of locally nilpotent derivations? Does exist any phenomenon on them?
I appreciate any reference. …
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