Geodesic
A Note on Lower Radical Constructions for Associative Rings
Canadian mathematical bulletin, Tome 11 (1968) no. 1, pp. 23-30

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In [2], a construction for the lower radical class R∘ (η) with respect to a class η of rings was given as the union of an inductively defined ascending transfinite chain of classes of rings. It was shown there that this construction terminates, for associative rings, at ω∘, the first infinite ordinal, in the sense that if {ηα: α an ordinal} is the chain, then R∘ (η) =ηω∘. Also, examples of classes η for which R∘ (η) = η1, η2, η3 were given. 
Heinicke, A.G. A Note on Lower Radical Constructions for Associative Rings. Canadian mathematical bulletin, Tome 11 (1968) no. 1, pp. 23-30. doi: 10.4153/CMB-1968-003-x
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     title = {A {Note} on {Lower} {Radical} {Constructions} for {Associative} {Rings}},
     journal = {Canadian mathematical bulletin},
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     year = {1968},
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     doi = {10.4153/CMB-1968-003-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-003-x/}
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