Strongly Noncosingular Modules
| dc.contributor.author | Alagöz, Yusuf | |
| dc.contributor.author | Durğun, Yılmaz | |
| dc.date.accessioned | 2017-08-24T07:51:40Z | |
| dc.date.available | 2017-08-24T07:51:40Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | An R-module M is called strongly noncosingular if it has no nonzero Rad-small (cosingular) homomorphic image in the sense of Harada. It is proven that (1) an R-module M is strongly noncosingular if and only if M is coatomic and noncosingular; (2) a right perfect ring R is Artinian hereditary serial if and only if the class of injective modules coincides with the class of (strongly) noncosingular R-modules; (3) absolutely coneat modules are strongly noncosingular if and only if R is a right max ring and injective modules are strongly noncosingular; (4) a commutative ring R is semisimple if and only if the class of injective modules coincides with the class of strongly noncosingular R-modules. | en_US |
| dc.identifier.citation | Alagöz, Y., and Durğun, Y. (2016). Strongly noncosingular modules. Bulletin of the Iranian Mathematical Society, 42(4), 999-1013. | en_US |
| dc.identifier.issn | 1735-8515 | |
| dc.identifier.issn | 1017-060X | |
| dc.identifier.issn | 1018-6301 | |
| dc.identifier.scopus | 2-s2.0-84983288528 | |
| dc.identifier.uri | https://hdl.handle.net/11147/6176 | |
| dc.language.iso | en | en_US |
| dc.publisher | Iranian Mathematical Society | en_US |
| dc.relation.ispartof | Bulletin of the Iranian Mathematical Society | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | R-modules | en_US |
| dc.subject | Rings | en_US |
| dc.subject | Coatomic modules | en_US |
| dc.subject | Coclosed submodules | en_US |
| dc.subject | Modules (Algebra) | en_US |
| dc.title | Strongly Noncosingular Modules | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Alagöz, Yusuf | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.endpage | 1013 | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 999 | en_US |
| gdc.description.volume | 42 | en_US |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.wos | WOS:000384818700019 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.scopus.citedcount | 1 | |
| gdc.wos.citedcount | 1 | |
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