Publication: On S-prime submodules
| dc.contributor.author | KOÇ, SUAT | |
| dc.contributor.authors | Sengelen Sevim, Esra; Arabaci, Tarik; Tekir, Unsal; Koc, Suat | |
| dc.date.accessioned | 2022-03-12T22:38:08Z | |
| dc.date.available | 2022-03-12T22:38:08Z | |
| dc.date.issued | 2019 | |
| dc.description.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 subset of 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) boolean AND S = empty set is called an S-prime submodule if there is an s is an element of S such that am is an element of P implies sa is an element of(P : (R) M) or sm is an element of P: Also, an R-module M is called S-torsion-free if ann(M) boolean AND S = empty set and there exists s is an element of S such that am = 0 implies sa = 0 or sm = 0 for each a is an element of R and m is an element of 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. | |
| dc.identifier.doi | 10.3906/mat-1808-50 | |
| dc.identifier.eissn | 1303-6149 | |
| dc.identifier.issn | 1300-0098 | |
| dc.identifier.uri | https://hdl.handle.net/11424/235506 | |
| dc.identifier.wos | WOS:000462461500034 | |
| dc.language.iso | eng | |
| dc.publisher | SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK | |
| dc.relation.ispartof | TURKISH JOURNAL OF MATHEMATICS | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.title | On S-prime submodules | |
| dc.type | article | |
| dspace.entity.type | Publication | |
| local.avesis.id | 9cc007e0-bb77-4c21-aebd-2eebde39bd89 | |
| local.import.package | SS17 | |
| local.indexed.at | WOS | |
| local.indexed.at | SCOPUS | |
| local.indexed.at | TRDIZIN | |
| local.journal.numberofpages | 11 | |
| local.journal.quartile | Q3 | |
| oaire.citation.endPage | 1046 | |
| oaire.citation.issue | 2 | |
| oaire.citation.startPage | 1036 | |
| oaire.citation.title | TURKISH JOURNAL OF MATHEMATICS | |
| oaire.citation.volume | 43 | |
| relation.isAuthorOfPublication | 57dc5867-a06e-42d4-b8f0-787ff572cabe | |
| relation.isAuthorOfPublication.latestForDiscovery | 57dc5867-a06e-42d4-b8f0-787ff572cabe |