Radicals which define factorization systems
Gardner, Barry J.
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991), p. 601-607 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 1991-01-01
Classification:  16A21,  16N80,  16S90,  17A65,  18A20,  18E40 
@article{118439,
     author = {Barry J. Gardner},
     title = {Radicals which define factorization systems},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {32},
     year = {1991},
     pages = {601-607},
     zbl = {0752.16009},
     mrnumber = {1159806},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118439}
}

Gardner, Barry J. Radicals which define factorization systems. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) pp. 601-607. http://gdmltest.u-ga.fr/item/118439/

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