Pure-direct-projective modules
| dc.contributor.author | Refail Alizade | |
| dc.contributor.author | Sultan Eylem Toksoy | |
| dc.date.accessioned | 2025-10-06T17:49:14Z | |
| 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 Rmodule 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. © 2023 Elsevier B.V. All rights reserved. | |
| dc.identifier.doi | 10.1142/S0219498824500105 | |
| dc.identifier.issn | 02194988, 17936829 | |
| dc.identifier.issn | 0219-4988 | |
| dc.identifier.issn | 1793-6829 | |
| dc.identifier.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85140872509&doi=10.1142%2FS0219498824500105&partnerID=40&md5=4a4fcd6e7dc43042db051d405384db25 | |
| dc.identifier.uri | https://gcris.yasar.edu.tr/handle/123456789/8354 | |
| dc.language.iso | English | |
| dc.publisher | World Scientific | |
| dc.relation.ispartof | Journal of Algebra and Its Applications | |
| dc.source | Journal of Algebra and its Applications | |
| dc.subject | (pure-)direct-projective Modules, (pure-)projective Modules, Von Neumann Regular Rings | |
| dc.title | Pure-direct-projective modules | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
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| gdc.description.volume | 23 | |
| gdc.identifier.openalex | W4296020826 | |
| gdc.index.type | Scopus | |
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| gdc.oaire.influence | 2.4352522E-9 | |
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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 | |
| gdc.oaire.popularity | 2.4024438E-9 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0102 computer and information sciences | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
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| gdc.opencitations.count | 1 | |
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| person.identifier.scopus-author-id | Alizade- Refail (6701555358), Toksoy- Sultan Eylem (35235414200) | |
| project.funder.name | The authors are grateful to the referee for carefully reading the paper for useful suggestions and very helpful comments which improved the presentation of the paper. | |
| publicationissue.issueNumber | 1 | |
| publicationvolume.volumeNumber | 23 | |
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