| dc.contributor.author | Grandis, Marco | en_US |
| dc.contributor.author | Janelidze, George | en_US |
| dc.date.accessioned | 1399-08-02T00:04:34Z | fa_IR |
| dc.date.accessioned | 2020-10-23T00:04:34Z | |
| dc.date.available | 1399-08-02T00:04:34Z | fa_IR |
| dc.date.available | 2020-10-23T00:04:34Z | |
| dc.date.issued | 2020-01-01 | en_US |
| dc.date.issued | 1398-10-11 | fa_IR |
| dc.date.submitted | 2018-05-10 | en_US |
| dc.date.submitted | 1397-02-20 | fa_IR |
| dc.identifier.citation | Grandis, Marco, Janelidze, George. (2020). From torsion theories to closure operators and factorization systems. Categories and General Algebraic Structures with Applications, 12(1), 89-121. doi: 10.29252/cgasa.12.1.89 | en_US |
| dc.identifier.issn | 2345-5853 | |
| dc.identifier.issn | 2345-5861 | |
| dc.identifier.uri | https://dx.doi.org/10.29252/cgasa.12.1.89 | |
| dc.identifier.uri | http://cgasa.sbu.ac.ir/article_87116.html | |
| dc.identifier.uri | https://iranjournals.nlai.ir/handle/123456789/470637 | |
| dc.description.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]. | en_US |
| dc.format.extent | 659 | |
| dc.format.mimetype | application/pdf | |
| dc.language | English | |
| dc.language.iso | en_US | |
| dc.publisher | Shahid Beheshti University | en_US |
| dc.relation.ispartof | Categories and General Algebraic Structures with Applications | en_US |
| dc.relation.isversionof | https://dx.doi.org/10.29252/cgasa.12.1.89 | |
| dc.subject | Exact sequence | en_US |
| dc.subject | torsion theory | en_US |
| dc.subject | closure operator | en_US |
| dc.subject | factorization system | en_US |
| dc.subject | ideal of null morphisms | en_US |
| dc.title | From torsion theories to closure operators and factorization systems | en_US |
| dc.type | Text | en_US |
| dc.type | Research Paper | en_US |
| dc.contributor.department | Dipartimento di Matematica, Universit`a di Genova, Via Dodecaneso 35,
16146-Genova, Italy | en_US |
| dc.contributor.department | Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa. | en_US |
| dc.citation.volume | 12 | |
| dc.citation.issue | 1 | |
| dc.citation.spage | 89 | |
| dc.citation.epage | 121 | |
