Invariance of minimal prime ideals under derivations

Chuang, C.-L.; Lee, T. K.

doi:10.1090/S0002-9939-1991-1072332-2

Invariance of minimal prime ideals under derivations
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by C.-L. Chuang and T. K. Lee PDF

Proc. Amer. Math. Soc. 113 (1991), 613-616 Request permission

Abstract:

We construct a counterexample to refute the following conjecture by I. N. Herstein: Is every minimal prime ideal of a semiprime ring invariant under any derivation of this ring?

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