Pure-direct-projective modules
| dc.contributor.author | Rafail Alizade | |
| dc.contributor.author | Sultan Eylem Toksoy | |
| dc.contributor.author | Alizade, Rafail | |
| dc.contributor.author | Toksoy, Sultan Eylem | |
| dc.date | JAN | |
| dc.date.accessioned | 2025-10-06T16:21:51Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | In this paper we introduce and study the pure-direct-projective modules that is the modules M every pure submodule A of which with M/A isomorphic to a direct summand of M is a direct summand of M. We characterize rings over which every right R-module is pure-direct-projective. We examine for which rings or under what conditions pure-direct-projective right R-modules are direct-projective projective quasi-projective pure-projective flat or injective. We prove that over a Noetherian ring every injective module is pure-direct-projective and a right hereditary ring R is right Noetherian if and only if every injective right R-module is pure-direct-projective. We obtain some properties of pure-direct-projective right R-modules which have DPSP and DPIP. | |
| dc.identifier.doi | 10.1142/S0219498824500105 | |
| dc.identifier.issn | 0219-4988 | |
| dc.identifier.issn | 1793-6829 | |
| dc.identifier.scopus | 2-s2.0-85140872509 | |
| dc.identifier.uri | http://dx.doi.org/10.1142/S0219498824500105 | |
| dc.identifier.uri | https://gcris.yasar.edu.tr/handle/123456789/7095 | |
| dc.identifier.uri | https://doi.org/10.1142/S0219498824500105 | |
| dc.language.iso | English | |
| dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | |
| dc.relation.ispartof | Journal of Algebra and Its Applications | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.source | JOURNAL OF ALGEBRA AND ITS APPLICATIONS | |
| dc.subject | (Pure-)direct-projective modules, (pure-)projective modules, von Neumann regular rings | |
| dc.subject | RINGS | |
| dc.subject | Von Neumann Regular Rings | |
| dc.subject | (Pure-)Projective Modules | |
| dc.subject | (Pure-)Direct-Projective Modules | |
| dc.title | Pure-direct-projective modules | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| gdc.author.id | TOKSOY, SULTAN EYLEM/0000-0002-0286-1870 | |
| gdc.author.id | Alizade, Refail/0000-0003-4444-9136 | |
| gdc.author.scopusid | 6701555358 | |
| gdc.author.scopusid | 35235414200 | |
| gdc.author.wosid | TOKSOY, SULTAN EYLEM/AAZ-9223-2021 | |
| gdc.author.wosid | Alizade, Refail/AAW-1211-2020 | |
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| gdc.description.department | ||
| gdc.description.departmenttemp | [Alizade, Rafail] Yasar Univ, Dept Math, Selcuk Yasar Campus, TR-35100 Izmir, Turkiye; [Toksoy, Sultan Eylem] Hacettepe Univ, Dept Math, TR-06800 Beytepe Ankara, Turkiye | |
| gdc.description.issue | 1 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| gdc.description.volume | 23 | |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.identifier.openalex | W4296020826 | |
| gdc.identifier.wos | WOS:000867872700003 | |
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| gdc.oaire.keywords | (pure-)projective modules | |
| gdc.oaire.keywords | Free, projective, and flat modules and ideals in associative algebras | |
| gdc.oaire.keywords | von Neumann regular rings and generalizations (associative algebraic aspects) | |
| gdc.oaire.keywords | (pure-)direct-projective modules | |
| gdc.oaire.keywords | General module theory in associative algebras | |
| gdc.oaire.keywords | von Neumann regular rings | |
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| gdc.oaire.sciencefields | 0102 computer and information sciences | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
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| person.identifier.orcid | TOKSOY- SULTAN EYLEM/0000-0002-0286-1870, | |
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| publicationvolume.volumeNumber | 23 | |
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