On the interior of a submodule with respect to a set of ideals
| dc.contributor.author | Ceken, Secil | |
| dc.date.accessioned | 2024-06-12T11:07:07Z | |
| dc.date.available | 2024-06-12T11:07:07Z | |
| dc.date.issued | 2019 | |
| dc.department | Trakya Üniversitesi | en_US |
| dc.description.abstract | In this paper, we investigate interior operations on submodules and introduce a new interior operation by using a certain submodule class. Let R be a commutative ring with identity and be a set of ideals of R. We define -second submodules and -interior of a submodule. We show that second, secondary and strongly second submodules are special types of -second submodules. We investigate several properties of -interiors of submodules and give a concrete expression of - interior of a submodule of an Artinian module. We use the concept of -interior of a submodule to find some results on -second submodules and attached primes of an Artinian module. | en_US |
| dc.identifier.doi | 10.2989/16073606.2018.1457097 | |
| dc.identifier.endpage | 446 | en_US |
| dc.identifier.issn | 1607-3606 | |
| dc.identifier.issn | 1727-933X | |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.scopus | 2-s2.0-85047185862 | en_US |
| dc.identifier.scopusquality | Q2 | en_US |
| dc.identifier.startpage | 431 | en_US |
| dc.identifier.uri | https://doi.org/10.2989/16073606.2018.1457097 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14551/21904 | |
| dc.identifier.volume | 42 | en_US |
| dc.identifier.wos | WOS:000466387500001 | en_US |
| dc.identifier.wosquality | Q2 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Natl Inquiry Services Centre Pty Ltd | en_US |
| dc.relation.ispartof | Quaestiones Mathematicae | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | I-Second Submodule | en_US |
| dc.subject | Interior Operation | en_US |
| dc.subject | I-Interior Of A Submodule | en_US |
| dc.subject | Attached Prime Ideal | en_US |
| dc.subject | Dual Notion | en_US |
| dc.subject | 2nd | en_US |
| dc.subject | Modules | en_US |
| dc.title | On the interior of a submodule with respect to a set of ideals | en_US |
| dc.type | Article | en_US |
