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On the Lie ring of derivations of a semiprime ring. (English) Zbl 1315.16036

Summary: We prove that the Lie ring of derivations of a semiprime ring is either trivial or non-nilpotent.

MSC:

16W25 Derivations, actions of Lie algebras
16W10 Rings with involution; Lie, Jordan and other nonassociative structures
16N60 Prime and semiprime associative rings
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