On S-prime submodules
| dc.authorid | 0000-0003-1296-0845 | en_US |
| dc.authorid | 0000-0003-0053-3213 | en_US |
| dc.contributor.author | Sevim, Esra Şengelen | |
| dc.contributor.author | Arabacı, Tarık | |
| dc.date.accessioned | 2022-01-11T16:27:09Z | |
| dc.date.available | 2022-01-11T16:27:09Z | |
| dc.date.issued | 2019-01-03 | |
| dc.description.abstract | ABSTRACT: In this study, we introduce the concepts of S -prime submodules and S -torsion-free modules, which are generalizations of prime submodules and torsion-free modules. Suppose S ? R is a multiplicatively closed subset of a commutative ring R, and let M be a unital R-module. A submodule P of M with (P :R M) ? S = ? is called an S -prime submodule if there is an s ? S such that am ? P implies sa ? (P :R M) or sm ? P. Also, an R-module M is called S -torsion-free if ann(M) ? S = ? and there exists s ? S such that am = 0 implies sa = 0 or sm = 0 for each a ? R and m ? M. In addition to giving many properties of S -prime submodules, we characterize certain prime submodules in terms of S -prime submodules. Furthermore, using these concepts, we characterize some classical modules such as simple modules, S -Noetherian modules, and torsion-free modules. | en_US |
| dc.fullTextLevel | Full Text | en_US |
| dc.identifier.doi | 10.3906/mat-1808-50 | |
| dc.identifier.issn | 1300-0098 | |
| dc.identifier.scopus | 2-s2.0-85064148847 | en_US |
| dc.identifier.trdizinid | 335607 | en_US |
| dc.identifier.uri | https://hdl.handle.net/11411/4367 | |
| dc.identifier.uri | https://doi.org/10.3906/mat-1808-50 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/yayin/detay/335607 | en_US |
| dc.identifier.wos | WOS:000462461500034 | en_US |
| dc.identifier.wosquality | Q2 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.indekslendigikaynak | TR-Dizin | en_US |
| dc.issue | 2 | en_US |
| dc.language.iso | en | en_US |
| dc.national | International | en_US |
| dc.numberofauthors | 4 | en_US |
| dc.pages | 1036-1046 | en_US |
| dc.publisher | Turkish Journal of Mathematics | en_US |
| dc.relation.ispartof | Turkish Journal of Mathematics | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.snmz | 20240718_Mükerrer | |
| dc.title | On S-prime submodules | |
| dc.type | Article | |
| dc.volume | 43 | en_US |
