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https://hdl.handle.net/11147/12352
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Alagöz, Yusuf | - |
dc.contributor.author | Benli Göral, Sinem | - |
dc.contributor.author | Büyükaşık, Engin | - |
dc.date.accessioned | 2022-08-15T18:23:30Z | - |
dc.date.available | 2022-08-15T18:23:30Z | - |
dc.date.issued | 2021 | - |
dc.identifier.issn | 0010-2628 | - |
dc.identifier.issn | 1213-7243 | - |
dc.identifier.uri | https://doi.org/10.14712/1213-7243.2021.036 | - |
dc.identifier.uri | https://hdl.handle.net/11147/12352 | - |
dc.description.abstract | A right R-module M is called R-projective provided that it is projective relative to the right R-module R-R. This paper deals with the rings whose all nonsingular right modules are R-projective. For a right nonsingular ring R, we prove that R-R is of finite Goldie rank and all nonsingular right R-modules are R-projective if and only if R is right finitely Sigma-CS and fiat right R-modules are R-projective. Then, R-projectivity of the class of nonsingular injective right modules is also considered. Over right nonsingular rings of finite right Goldie rank, it is shown that R-projectivity of nonsingular injective right modules is equivalent to R-projectivity of the injective hull E(R-R). In this case, the injective hull E(R-R) has the decomposition E(R-R) = U-R circle plus V-R, where U is projective and Hom(V, R/I) = 0 for each right ideal I of R. Finally, we focus on the right orthogonal class N-perpendicular to of the class IV of nonsingular right modules. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Mathematical Institute of Charles University | en_US |
dc.relation.ispartof | Commentationes Mathematicae Universitatis Carolinae | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Nonsingular module | en_US |
dc.subject | Rings (Algebra) | en_US |
dc.subject | Flat module | en_US |
dc.title | Rings Whose Nonsingular Right Modules Are R-Projective | en_US |
dc.type | Article | en_US |
dc.department | İzmir Institute of Technology. Mathematics | en_US |
dc.identifier.volume | 62 | en_US |
dc.identifier.issue | 4 | en_US |
dc.identifier.startpage | 393 | en_US |
dc.identifier.endpage | 407 | en_US |
dc.identifier.wos | WOS:000818514600001 | - |
dc.identifier.scopus | 2-s2.0-85125037468 | - |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.doi | 10.14712/1213-7243.2021.036 | - |
dc.identifier.scopusquality | Q4 | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.languageiso639-1 | en | - |
item.openairetype | Article | - |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
item.cerifentitytype | Publications | - |
crisitem.author.dept | 01. Izmir Institute of Technology | - |
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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