A simple definition of torsion theory is presented, as a factorization system with both classes satisfying the 3--for--2 property. Comparisons with the traditional notion are given, as well as connections with the notions of fibration and of weak factorization system, as used in abstract homotopy theory.
Journal of Homotopy and Related Structures, Vol. 2(2007), No. 2, pp. 295-314