Geodesic
Radicals which define factorization systems
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 4, pp. 601-607.

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A method due to Fay and Walls for associating a factorization system with a radical is examined for associative rings. It is shown that a factorization system results if and only if the radical is strict and supernilpotent. For groups and non-associative rings, no radical defines a factorization system.
Classification : 16A21, 16N80, 16S90, 17A65, 18A20, 18E40
Keywords: radical class; factorization system 
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     author = {Gardner, B. J.},
     title = {Radicals which define factorization systems},
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}
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Gardner, B. J. Radicals which define factorization systems. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 4, pp. 601-607. http://geodesic.mathdoc.fr/item/CMUC_1991__32_4_a1/