Title of article :
From torsion theories to closure operators and factorization systems
Author/Authors :
Grandis ، Marco Dipartimento di Matematica - Dipartimento di Matematica , Janelidze ، George Department of Mathematics and Applied Mathematics - University of Cape Town
Abstract :
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].
Keywords :
Exact sequence , torsion theory , closure operator , factorization system , ideal of null morphisms
Journal title :
Categories and General Algebraic Structures with Applications
Journal title :
Categories and General Algebraic Structures with Applications
