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

Voir la notice de l'article provenant de la source Cambridge University Press

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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[1] 1. Bell, H. E. and Klein, A. A., On rings with Engel cycles, Canad. Math. Bull. (3) 34(1991), 295–300. Google Scholar

[2] 2. Chacron, M., On a theorem of Herstein, Canad. J, Math. 21(1969), 1348–1353. Google Scholar

[3] 3. Divinsky, N. J., Rings and Radicals, University of Toronto Press, 1965. Google Scholar

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