A primitive ring which is a sum of two Wedderburn radical subrings

Kelarev, A.

doi:10.1090/S0002-9939-97-04169-5

A primitive ring which is a sum of two Wedderburn radical subrings
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Proc. Amer. Math. Soc. 125 (1997), 2191-2193 Request permission

Abstract:

We give an example of a primitive ring which is a sum of two Wedderburn radical subrings. This answers an open question and simplifies the proof of the known theorem that there exists a ring which is not nil but is a sum of two locally nilpotent subrings.

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