From torsion theories to closure operators and factorization systems | ||
| Categories and General Algebraic Structures with Applications | ||
| مقاله 6، دوره 12، شماره 1، فروردین 2020، صفحه 89-121 اصل مقاله (659.26 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.29252/cgasa.12.1.89 | ||
| نویسندگان | ||
| Marco Grandis1؛ George Janelidze2 | ||
| 1Dipartimento di Matematica, Universit\`a di Genova, Via Dodecaneso 35, 16146-Genova, Italy | ||
| 2Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa. | ||
| چکیده | ||
| 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]. | ||
| کلیدواژهها | ||
| Exact sequence؛ torsion theory؛ closure operator؛ factorization system؛ ideal of null morphisms | ||
| مراجع | ||
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