Subdirectly Irreducible DQC Rings
Canadian mathematical bulletin, Tome 14 (1971) no. 4, pp. 495-498

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

Twenty-five years ago McCoy published a characterization of commutative subdirectly irreducible rings. This result was generalized by Thierrin to duo rings with the word “field” which appeared in McCoy's theorem replaced by “division ring”. The purpose of this note is to give another generalization in which the words “division ring” will be replaced by “simple ring with 1 ”. The techniques resemble those of McCoy and Thierrin.
Burgess, W.; Chacron, M. Subdirectly Irreducible DQC Rings. Canadian mathematical bulletin, Tome 14 (1971) no. 4, pp. 495-498. doi: 10.4153/CMB-1971-088-6
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[1] 1. Courter, R. C., Rings all of whose factor rings are semi-prime, Canad. Math. Bull. 12 (1969), 417-426. Google Scholar

[2] 2. Divinsky, N., Commutative subdirectly irreducible rings, Proc. Amer. Math. Soc. 8 (1957), 642-648. Google Scholar

[3] 3. Jacobson, N., Structure of Rings, Amer. Math. Soc. Providence, R.I., 1956. Google Scholar

[4] 4. McCoy, N. H., Subdirectly irreducible commutative rings, Duke Math. J. 12 (1945), 381- 387. Google Scholar

[5] 5. Thierrin, G., Sur la structure d'une classe d'anneaux, Canad. Math. Bull. 3 (1960), 11-16. Google Scholar

[6] 6. Thierrin, G., On duo rings, Canad. Math. Bull. 3 (1960), 167-172. Google Scholar

[7] 7. van der Walt, A. P. J., Rings with dense quasi-centre, Math. Z. 97 (1967), 38-44. Google Scholar

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