Test modules for flatness
| dc.contributor.author | Refail Alizade | |
| dc.contributor.author | Yılmaz Durǧun | |
| dc.contributor.author | Alizade, Rafail | |
| dc.contributor.author | Durğun, Yılmaz | |
| dc.date.accessioned | 2025-10-06T17:52:01Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | A right R-module M is said to be a test module for flatness (shortly: an f-test module) provided for each left R-module N Tor(M N) = 0 implies N is flat. f-test modules are a flat version of the Whitehead test modules for injectivity defined by Trlifaj. In this paper the properties of f-test modules are investigated and are used to characterize various families of rings. The structure of a ring over which every (finitely generated) right R-module is flat or f-test is investigated. Abelian groups that are Whitehead test modules for injectivity or f-test are characterized. © 2023 Elsevier B.V. All rights reserved. | |
| dc.identifier.doi | 10.4171/RSMUP/137-4 | |
| dc.identifier.issn | 00418994, 22402926 | |
| dc.identifier.issn | 0041-8994 | |
| dc.identifier.issn | 2240-2926 | |
| dc.identifier.scopus | 2-s2.0-85019582285 | |
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| dc.identifier.uri | https://gcris.yasar.edu.tr/handle/123456789/9728 | |
| dc.identifier.uri | https://doi.org/10.4171/RSMUP/137-4 | |
| dc.language.iso | English | |
| dc.publisher | Universita di Padova | |
| dc.relation.ispartof | Rendiconti del Seminario Matematico della Università di Padova | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.source | Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova | |
| dc.subject | F-test Modules, Flat Modules, Fully Saturated Rings, P-indigent Modules, Whitehead Test Modules | |
| dc.subject | Flat Modules | |
| dc.subject | Fully Saturated Rings | |
| dc.subject | P-Indigent Modules | |
| dc.subject | F-Test Modules | |
| dc.subject | Whitehead Test Modules | |
| dc.title | Test modules for flatness | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| gdc.author.id | DURĞUN, YILMAZ/0000-0002-1230-8964 | |
| gdc.author.id | Alizade, Refail/0000-0003-4444-9136 | |
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| gdc.author.wosid | DURĞUN, YILMAZ/C-3131-2018 | |
| gdc.author.wosid | Alizade, Refail/AAW-1211-2020 | |
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| gdc.description.department | ||
| gdc.description.departmenttemp | [Alizade, Rafail] Yasar Univ, Dept Math, TR-35100 Izmir, Turkey; [Durgun, Yilmaz] Univ Zurich, Inst Math, CH-8057 Zurich, Switzerland | |
| gdc.description.endpage | 91 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| gdc.description.startpage | 75 | |
| gdc.description.volume | 137 | |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| person.identifier.scopus-author-id | Alizade- Refail (6701555358), Durǧun- Yılmaz (55901583300) | |
| publicationvolume.volumeNumber | 137 | |
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