Geodesic
An Answer to a Question of Kegel on Sums of Rings
Canadian mathematical bulletin, Tome 41 (1998) no. 1, pp. 79-80

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DOI

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.
DOI : 10.4153/CMB-1998-012-5
Mots-clés : 16N40, 16N60, Nilpotent rings, locally nilpotent rings, nil rings 
Kelarev, A. V. An Answer to a Question of Kegel on Sums of Rings. Canadian mathematical bulletin, Tome 41 (1998) no. 1, pp. 79-80. doi: 10.4153/CMB-1998-012-5
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     title = {An {Answer} to a {Question} of {Kegel} on {Sums} of {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {79--80},
     year = {1998},
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     number = {1},
     doi = {10.4153/CMB-1998-012-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-012-5/}
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