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Differentially trivial Noetherian semiperfect rings. (English) Zbl 1012.16027

The author describes the following two classes of rings: (1) All left Noetherian semiperfect rings whose proper ideals possess only trivial derivations. (2) All Noetherian semiperfect rings whose proper quotient rings possess only trivial derivations. The answers are given as lists.

MSC:

16P40 Noetherian rings and modules (associative rings and algebras)
16L30 Noncommutative local and semilocal rings, perfect rings
16W25 Derivations, actions of Lie algebras
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