Test modules for flatness
| dc.contributor.author | Rafail Alizade | |
| dc.contributor.author | Yilmaz Durgun | |
| dc.date.accessioned | 2025-10-06T16:22:01Z | |
| 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(MN) = 0 implies N is flat. f-test modules are a flat version of the Whitehead test modules for injectivity deflned 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 (flnitely 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. | |
| dc.identifier.doi | 10.4171/RSMUP/137-4 | |
| dc.identifier.issn | 0041-8994 | |
| dc.identifier.issn | 2240-2926 | |
| dc.identifier.uri | http://dx.doi.org/10.4171/RSMUP/137-4 | |
| dc.identifier.uri | https://gcris.yasar.edu.tr/handle/123456789/7163 | |
| dc.language.iso | English | |
| dc.publisher | C E D A M SPA CASA EDITR DOTT ANTONIO MILANI | |
| dc.relation.ispartof | Rendiconti del Seminario Matematico della Università di Padova | |
| dc.source | RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA | |
| dc.subject | Whitehead test modules, f-test modules, p-indigent modules, flat modules, fully saturated rings | |
| dc.title | Test modules for flatness | |
| dc.type | Article | |
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| gdc.description.endpage | 91 | |
| gdc.description.startpage | 75 | |
| gdc.description.volume | 137 | |
| gdc.identifier.openalex | W2613785356 | |
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| gdc.oaire.sciencefields | 0101 mathematics | |
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| person.identifier.orcid | DURGUN- YILMAZ/0000-0002-1230-8964, Alizade- Refail/0000-0003-4444-9136, | |
| publicationvolume.volumeNumber | 137 | |
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