Special Precovers in Cotorsion Theories
| dc.contributor.author | Akıncı, Karen D. | |
| dc.contributor.author | Alizade, Rafail | |
| dc.coverage.doi | 10.1017/S001309150000122X | |
| dc.date.accessioned | 2016-05-16T12:39:54Z | |
| dc.date.available | 2016-05-16T12:39:54Z | |
| dc.date.issued | 2002 | |
| dc.description.abstract | A cotorsion theory is defined as a pair of classes Ext-orthogonal to each other. We give a hereditary condition (HC) which is satisfied by the (flat, cotorsion) cotorsion theory and give properties satisfied by arbitrary cotorsion theories with an HC. Given a cotorsion theory with an HC, we consider the class of all modules having a special precover with respect to the first class in the cotorsion theory and show that this class is closed under extensions. We then raise the question of whether this class is resolving or coresolving. | en_US |
| dc.description.sponsorship | TÜBİTAK | en_US |
| dc.identifier.citation | Akıncı, K. D., and Alizade, R. (2002). Special precovers in cotorsion theories. Proceedings of the Edinburgh Mathematical Society, 45(2), 411-420. doi:10.1017/S001309150000122X | en_US |
| dc.identifier.doi | 10.1017/S001309150000122X | en_US |
| dc.identifier.doi | 10.1017/S001309150000122X | |
| dc.identifier.issn | 0013-0915 | |
| dc.identifier.scopus | 2-s2.0-0036302402 | |
| dc.identifier.uri | http://dx.doi.org/10.1017/S001309150000122X | |
| dc.identifier.uri | https://hdl.handle.net/11147/4645 | |
| dc.language.iso | en | en_US |
| dc.publisher | Cambridge University Press | en_US |
| dc.relation.ispartof | Proceedings of the Edinburgh Mathematical Society | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Cotorsion theory | en_US |
| dc.subject | Hereditary condition | en_US |
| dc.subject | Special pre-envelope | en_US |
| dc.subject | Special precover | en_US |
| dc.title | Special Precovers in Cotorsion Theories | en_US |
| dc.type | Article | en_US |
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| gdc.author.institutional | Alizade, Rafail | |
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| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.endpage | 420 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 411 | en_US |
| gdc.description.volume | 45 | en_US |
| gdc.description.wosquality | Q2 | |
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| gdc.oaire.keywords | Hereditary condition | |
| gdc.oaire.keywords | Special pre-envelope | |
| gdc.oaire.keywords | Special precover | |
| gdc.oaire.keywords | Cotorsion theory | |
| gdc.oaire.keywords | Homological algebra in category theory, derived categories and functors | |
| gdc.oaire.keywords | special precover | |
| gdc.oaire.keywords | hereditary condition | |
| gdc.oaire.keywords | cotorsion theory | |
| gdc.oaire.keywords | Torsion theories, radicals | |
| gdc.oaire.keywords | special pre-envelope | |
| gdc.oaire.popularity | 3.5802712E-9 | |
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