Modules and abelian groups with minimal (pure-) projectivity domains
| dc.contributor.author | Rafail Alizade | |
| dc.contributor.author | Damla Dede Sipahi | |
| dc.contributor.author | Alizade, Rafail | |
| dc.contributor.author | Sipahi, Damla Dede | |
| dc.date | NOV | |
| dc.date.accessioned | 2025-10-06T16:20:06Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | In this paper we give a complete description of the projectively poor abelian groups and prove that there exists a pure projectively poor abelian group. We show that over a commutative Artinian ring every module having a projectively poor factor module by a pure submodule is itself projectively poor. We also give some other properties of pure projectively poor modules. | |
| dc.description.sponsorship | Scientific and Technical Research Council of Turkey (TUBITAK) | |
| dc.description.sponsorship | The authors are grateful to the referee for carefully reading the paper and for useful suggestions. The second author wishes to thank the Scientific and Technical Research Council of Turkey (TUBITAK) for the financial support. | |
| dc.identifier.doi | 10.1142/S0219498817502036 | |
| dc.identifier.issn | 0219-4988 | |
| dc.identifier.issn | 1793-6829 | |
| dc.identifier.scopus | 2-s2.0-85006288806 | |
| dc.identifier.uri | http://dx.doi.org/10.1142/S0219498817502036 | |
| dc.identifier.uri | https://gcris.yasar.edu.tr/handle/123456789/6197 | |
| dc.identifier.uri | https://doi.org/10.1142/S0219498817502036 | |
| 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 | Projectively poor module (abelian group), generic ring, pure p-generic (i-generic) module, pure-projectively poor module (abelian group) | |
| dc.subject | INJECTIVITY, RINGS, POOR | |
| dc.subject | Pure p -Generic (i -Generic) Module | |
| dc.subject | Projectively Poor Module (Abelian Group) | |
| dc.subject | Pure P-Generic (i-Generic) Module | |
| dc.subject | Pure-Projectively Poor Module (Abelian Group) | |
| dc.subject | Generic Ring | |
| dc.title | Modules and abelian groups with minimal (pure-) projectivity domains | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| gdc.author.id | Alizade, Refail/0000-0003-4444-9136 | |
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| gdc.author.wosid | Alizade, Refail/AAW-1211-2020 | |
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| gdc.description.departmenttemp | [Alizade, Rafail; Sipahi, Damla Dede] Yasar Univ, Dept Math, Izmir, Turkey | |
| gdc.description.issue | 11 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| gdc.description.startpage | 1750203 | |
| gdc.description.volume | 16 | |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.identifier.openalex | W2549875946 | |
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| gdc.oaire.keywords | pure \(p\)-generic (\(i\)-generic) module | |
| gdc.oaire.keywords | General structure theorems for groups | |
| gdc.oaire.keywords | generic ring | |
| gdc.oaire.keywords | Homological and categorical methods for abelian groups | |
| gdc.oaire.keywords | Module categories in associative algebras | |
| gdc.oaire.keywords | projectively poor module (abelian group) | |
| gdc.oaire.keywords | Commutative Artinian rings and modules, finite-dimensional algebras | |
| gdc.oaire.keywords | Projective and free modules and ideals in commutative rings | |
| gdc.oaire.keywords | Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) | |
| gdc.oaire.keywords | pure-projectively poor module (abelian group) | |
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| person.identifier.orcid | Alizade- Refail/0000-0003-4444-9136 | |
| project.funder.name | Scientific and Technical Research Council of Turkey (TUBITAK) | |
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