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An Answer to a Question of Kegel on Sums of Rings

  • A. V. Kelarev (a1)

Abstract

We construct a ring $R$ which is a sum of two subrings $A$ and $B$ such that the Levitzki radical of $R$ does not contain any of the hyperannihilators of $A$ and $B$ . This answers an open question asked by Kegel in 1964.

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References

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1. Bahturin, Yu. and Kegel, O. H., Lie algebras which are universal sums of abelian subalgebras. Comm. Algebra 23 (1995), 29752990.
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9. Kelarev, A. V., A primitive ring which is a sum of two Wedderburn radical subrings. Proc. Amer. Math. Soc., to appear.
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An Answer to a Question of Kegel on Sums of Rings

  • A. V. Kelarev (a1)

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