Geodesic
Strong Radical Classes and Idempotents
Canadian mathematical bulletin, Tome 18 (1975) no. 5, pp. 723-725

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

All rings are associative but do not necessarily have identities. Definitions and basic results about radical classes can be found in [2]. A radical class is strong [3] if for every ring A, (A) contains all left and right -ideals of A. 
Stewart, Patrick N. Strong Radical Classes and Idempotents. Canadian mathematical bulletin, Tome 18 (1975) no. 5, pp. 723-725. doi: 10.4153/CMB-1975-126-9
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[1] 1. Anderson, T., A note on strong radicals, Acta Math. Acad. Sci. Hung. 25 (1974), 5-6. Google Scholar

[2] 2. Divinsky, N., Rings and radicals, University of Toronto Press, 1965. Google Scholar

[3] 3. Divinsky, N., Krempa, J. and Sulinski, A., Strong radical properties of alternative and associative rings, J. Alg. 17 (1971), 369-388. Google Scholar

[4] 4. Rosa, R.F., More properties inherited by the lower radical, Proc. Amer. Math. Soc. 33 (1972), 247-249. Google Scholar

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