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

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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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     title = {Strong {Radical} {Classes} and {Idempotents}},
     journal = {Canadian mathematical bulletin},
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     doi = {10.4153/CMB-1975-126-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-126-9/}
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