Special Precovers in Cotorsion Theories

dc.contributor.author Akinci, Karen D.
dc.contributor.author Alizade, R
dc.date.accessioned 2023-06-16T14:11:52Z
dc.date.available 2023-06-16T14:11:52Z
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.identifier.doi 10.1017/S001309150000122X
dc.identifier.issn 0013-0915
dc.identifier.issn 1464-3839
dc.identifier.scopus 2-s2.0-0036302402
dc.identifier.uri https://doi.org/10.1017/S001309150000122X
dc.identifier.uri https://hdl.handle.net/20.500.14365/1492
dc.language.iso en en_US
dc.publisher Cambridge Univ Press en_US
dc.relation.ispartof Proceedıngs of the Edınburgh Mathematıcal Socıety 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 precover en_US
dc.subject special pre-envelope en_US
dc.title Special Precovers in Cotorsion Theories en_US
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Alizade, Refail/0000-0003-4444-9136
gdc.author.scopusid 6507024905
gdc.author.scopusid 6701555358
gdc.author.wosid Alizade, Refail/AAW-1211-2020
gdc.author.wosid Alizade, Refail/AAW-2794-2020
gdc.bip.impulseclass C5
gdc.bip.influenceclass C5
gdc.bip.popularityclass C5
gdc.coar.access open access
gdc.coar.type text::journal::journal article
gdc.collaboration.industrial false
gdc.description.department İzmir Ekonomi Üniversitesi en_US
gdc.description.departmenttemp Izmir Univ Econ, Izmir, Turkey; Izmir Technol Inst, Dept Math, Izmir, Turkey en_US
gdc.description.endpage 420 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
gdc.identifier.openalex W2031253403
gdc.identifier.wos WOS:000181269200012
gdc.index.type WoS
gdc.index.type Scopus
gdc.oaire.accesstype BRONZE
gdc.oaire.diamondjournal false
gdc.oaire.impulse 0.0
gdc.oaire.influence 3.2915186E-9
gdc.oaire.isgreen true
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 3.798152E-9
gdc.oaire.publicfunded false
gdc.oaire.sciencefields 0103 physical sciences
gdc.oaire.sciencefields 0101 mathematics
gdc.oaire.sciencefields 01 natural sciences
gdc.openalex.collaboration National
gdc.openalex.fwci 0.27420674
gdc.openalex.normalizedpercentile 0.54
gdc.opencitations.count 9
gdc.plumx.crossrefcites 3
gdc.plumx.mendeley 2
gdc.plumx.scopuscites 10
gdc.scopus.citedcount 10
gdc.virtual.author Akinci, Karen D.
gdc.wos.citedcount 10
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