Modules and abelian groups with minimal (pure-) projectivity domains
| dc.contributor.author | Refail Alizade | |
| dc.contributor.author | Damla Dede Sipahi | |
| dc.date.accessioned | 2025-10-06T17:51:50Z | |
| 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. © 2017 Elsevier B.V. All rights reserved. | |
| dc.identifier.doi | 10.1142/S0219498817502036 | |
| 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-s2.0-85006288806&doi=10.1142%2FS0219498817502036&partnerID=40&md5=3c021435e1f2395abbb5b633da3c9540 | |
| dc.identifier.uri | https://gcris.yasar.edu.tr/handle/123456789/9644 | |
| dc.language.iso | English | |
| dc.publisher | World Scientific Publishing Co. Pte Ltd wspc@wspc.com.sg | |
| dc.relation.ispartof | Journal of Algebra and Its Applications | |
| dc.source | Journal of Algebra and its Applications | |
| dc.subject | Generic Ring, Projectively Poor Module (abelian Group), Pure P -generic (i -generic) Module, Pure-projectively Poor Module (abelian Group) | |
| dc.title | Modules and abelian groups with minimal (pure-) projectivity domains | |
| dc.type | Article | |
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| gdc.description.startpage | 1750203 | |
| gdc.description.volume | 16 | |
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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.scopus-author-id | Alizade- Refail (6701555358), Sipahi- Damla Dede (57192419507) | |
| publicationissue.issueNumber | 11 | |
| publicationvolume.volumeNumber | 16 | |
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