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Closure operators, torsion theories, and radicals in a non-abelian environment
(2009-05)
In the category of abelian groups, there exists a relationship between torsion theories and idempotent radicals where we can use one to find the other. In the process we can learn of different properties that apply to the ...
Torsion theories, radicals and closure operators in the category of rings
(2009-05)
In 1971, Joachim Lambek published a result which gives an equivalence between torsion theo- ries (B,C) and idempotent radicals T in the category Mod R, establishing some properties of the classes of R-modules B and C and ...