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https://hdl.handle.net/11147/4788
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Büyükaşık, Engin | - |
dc.contributor.author | Türkmen, Ergül | - |
dc.date.accessioned | 2017-02-03T12:44:14Z | - |
dc.date.available | 2017-02-03T12:44:14Z | - |
dc.date.issued | 2012-01 | - |
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.issn | 0041-5995 | - |
dc.identifier.uri | http://doi.org/10.1007/s11253-012-0579-3 | - |
dc.identifier.uri | http://hdl.handle.net/11147/4788 | - |
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.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 |
dc.authorid | TR130906 | en_US |
dc.institutionauthor | Büyükaşık, Engin | - |
dc.department | İzmir Institute of Technology. Mathematics | en_US |
dc.identifier.volume | 63 | en_US |
dc.identifier.issue | 8 | en_US |
dc.identifier.startpage | 1306 | en_US |
dc.identifier.endpage | 1313 | en_US |
dc.identifier.wos | WOS:000301855400010 | en_US |
dc.identifier.scopus | 2-s2.0-84857503822 | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.doi | 10.1007/s11253-012-0579-3 | - |
dc.relation.doi | 10.1007/s11253-012-0579-3 | en_US |
dc.coverage.doi | 10.1007/s11253-012-0579-3 | en_US |
dc.identifier.wosquality | Q4 | - |
dc.identifier.scopusquality | Q3 | - |
item.fulltext | With Fulltext | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
item.openairetype | Article | - |
crisitem.author.dept | 04.02. Department of Mathematics | - |
Appears in Collections: | Mathematics / Matematik Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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