| dc.contributor.author | Turkmen, B. N. | |
| dc.contributor.author | Pancar, A. | |
| dc.date.accessioned | 2020-06-21T14:04:41Z | |
| dc.date.available | 2020-06-21T14:04:41Z | |
| dc.date.issued | 2013 | |
| dc.identifier.issn | 0041-5995 | |
| dc.identifier.issn | 1573-9376 | |
| dc.identifier.uri | https://doi.org/10.1007/s11253-013-0799-1 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12712/15695 | |
| dc.description | WOS: 000326721400009 | en_US |
| dc.description.abstract | We introduce circle plus-radical supplemented modules and strongly circle plus-radical supplemented modules (briefly, srs (aS center dot)-modules) as proper generalizations of circle plus-supplemented modules. We prove that (1) a semilocal ring R is left perfect if and only if every left R-module is an circle plus-radical supplemented module; (2) a commutative ring R is an Artinian principal ideal ring if and only if every left R-module is an srs (aS center dot)-module; (3) over a local Dedekind domain, every circle plus-radical supplemented module is an srs (aS center dot)-module. Moreover, we completely determine the structure of these modules over local Dedekind domains. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.isversionof | 10.1007/s11253-013-0799-1 | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.title | Generalizations of circle plus-supplemented modules | en_US |
| dc.type | article | en_US |
| dc.contributor.department | OMÜ | en_US |
| dc.identifier.volume | 65 | en_US |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.startpage | 612 | en_US |
| dc.identifier.endpage | 622 | en_US |
| dc.relation.journal | Ukrainian Mathematical Journal | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
