%0 Journal Article
%T From torsion theories to closure operators and factorization systems
%J Categories and General Algebraic Structures with Applications
%I Shahid Beheshti University
%Z 2345-5853
%A Grandis, Marco
%A Janelidze, George
%D 2020
%\ 01/01/2020
%V 12
%N 1
%P 89-121
%! From torsion theories to closure operators and factorization systems
%K Exact sequence
%K torsion theory
%K closure operator
%K factorization system
%K ideal of null morphisms
%R
%X Torsion theories are here extended to categories equipped with an ideal of 'null morphisms', or equivalently a full subcategory of 'null objects'. Instances of this extension include closure operators viewed as generalised torsion theories in a 'category of pairs', and factorization systems viewed as torsion theories in a category of morphisms. The first point has essentially been treated in [15].
%U http://cgasa.sbu.ac.ir/article_87116_929764e335e7d4c92a5611139b9e065a.pdf