A simplicial approach to factorization systems and Kurosh-Amitsur radicals (Q734807)

The authors extend the notion of a factorization system from morphisms in a category to 1-simplexes in an arbitrary simplicial set. They apply this factorization system to the simplicial set of short exact sequences to get the notion of Kurosh-Amitsur radical. The paper is a wealth of valuable information of the topic of research. The paper finds its way to have a substantially functional emphasis to other fields.