Geodesic
On the Periodic Radical of a Ring
Canadian mathematical bulletin, Tome 38 (1995) no. 2, pp. 215-217

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Let R be a ring and P(R) the sum of all periodic ideals of R. We prove that P(R) is the intersection of all prime ideals P α such that contains no nontrivial periodic ideals. We also prove that P(R) = 0 if and only if Rs is a subdirect product of prime rings R α with P(R α) = 0.
DOI : 10.4153/CMB-1995-030-7
Mots-clés : 16N60, 16N80 
Guo, Xiuzhan. On the Periodic Radical of a Ring. Canadian mathematical bulletin, Tome 38 (1995) no. 2, pp. 215-217. doi: 10.4153/CMB-1995-030-7
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     title = {On the {Periodic} {Radical} of a {Ring}},
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     year = {1995},
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     number = {2},
     doi = {10.4153/CMB-1995-030-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-030-7/}
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