Strongly Radical Supplemented Modules
| dc.contributor.author | Büyükaşık, Engin | |
| dc.contributor.author | Türkmen, Ergül | |
| dc.coverage.doi | 10.1007/s11253-012-0579-3 | |
| dc.date.accessioned | 2017-02-03T12:44:14Z | |
| dc.date.available | 2017-02-03T12:44:14Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | Zöschinger studied modules whose radicals have supplements and called these modules radical supplemented. Motivated by this, we call a module strongly radical supplemented (briefly srs) if every submodule containing the radical has a supplement. We prove that every (finitely generated) left module is an srs-module if and only if the ring is left (semi)perfect. Over a local Dedekind domain, srs-modules and radical supplemented modules coincide. Over a nonlocal Dedekind domain, an srs-module is the sum of its torsion submodule and the radical submodule. © 2012 Springer Science+Business Media, Inc | en_US |
| dc.identifier.citation | Büyükaşık, E., and Türkmen, E. (2012). Strongly radical supplemented modules. Ukrainian Mathematical Journal, 63(8), 1306-1313. doi:10.1007/s11253-012-0579-3 | en_US |
| dc.identifier.doi | 10.1007/s11253-012-0579-3 | |
| dc.identifier.doi | 10.1007/s11253-012-0579-3 | en_US |
| dc.identifier.issn | 0041-5995 | |
| dc.identifier.issn | 1573-9376 | |
| dc.identifier.scopus | 2-s2.0-84857503822 | |
| dc.identifier.uri | http://doi.org/10.1007/s11253-012-0579-3 | |
| dc.identifier.uri | https://hdl.handle.net/11147/4788 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Verlag | en_US |
| dc.relation.ispartof | Ukrainian Mathematical Journal | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Supplemented modules | en_US |
| dc.subject | Strongly radical supplemented | en_US |
| dc.subject | R-modules | en_US |
| dc.subject | Dedekind domain | en_US |
| dc.subject | Rings (Algebra) | en_US |
| dc.title | Strongly Radical Supplemented Modules | en_US |
| dc.type | Article | en_US |
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| gdc.author.institutional | Büyükaşık, Engin | |
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| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.endpage | 1313 | en_US |
| gdc.description.issue | 8 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 1306 | en_US |
| gdc.description.volume | 63 | en_US |
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| gdc.oaire.keywords | Rings (Algebra) | |
| gdc.oaire.keywords | Supplemented modules | |
| gdc.oaire.keywords | ?????????????? ???????????????????????? | |
| gdc.oaire.keywords | Dedekind domain | |
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