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Displaying similar documents to “On some Results Related to Köthe's Conjecture”

Radicals which define factorization systems

Barry J. Gardner (1991)

Commentationes Mathematicae Universitatis Carolinae

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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.