On (n ? 1, n)-?-second submodules
| dc.authorscopusid | 36337788400 | |
| dc.authorscopusid | 57189998556 | |
| dc.authorscopusid | 12244046600 | |
| dc.contributor.author | Çeken S. | |
| dc.contributor.author | Koç S. | |
| dc.contributor.author | Tekir Ü. | |
| dc.date.accessioned | 2024-06-12T10:29:19Z | |
| dc.date.available | 2024-06-12T10:29:19Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | Let R be a commutative ring with identity, M be an R-module, n ? 2 be a positive integer and ?: S(M) ?? S(M) be a function where S(M) is the set of all submodules of M. In this paper we introduce and study the concept of (n ? 1, n)-?-second submodule. We call a non-zero submodule N of M as an (n ? 1, n)-?-second submodule if (a1 …an?1)N ? K and (a1 …an?1)?(N) ? K, where a1, …, an?1 ? R and K is a submodule of M, imply either a1 …an?1 ? annR(N) or (a1 …ai?1ai+1 …an?1)N ? K for some i ? {1, …, n ? 1}. We give a number of results concerning this submodule class. We characterize modules with the property that for some ?, every non-zero submodule is (n ? 1, n)-?-second. We show that under some assumptions strongly (n ? 1)-absorbing second submodules and (n ? 1, n)-?-second submodules coincide. We also focus on (2, 3)-?-second submodules and give some special results concerning them. © Palestine Polytechnic University-PPU 2023. | en_US |
| dc.identifier.endpage | 142 | en_US |
| dc.identifier.issn | 2219-5688 | |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.scopus | 2-s2.0-85181193582 | en_US |
| dc.identifier.scopusquality | Q4 | en_US |
| dc.identifier.startpage | 133 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.14551/17690 | |
| dc.identifier.volume | 12 | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Palestine Polytechnic University | en_US |
| dc.relation.ispartof | Palestine Journal of Mathematics | 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 | (N ? 1, N)-M-Almost Second Submodule; (N ? 1, N)-Weak Second Submodule; (N ? 1, N)-?-Prime Submodule; (N ? 1, N)-?-Second Submodule; N-Absorbing Ideal | en_US |
| dc.title | On (n ? 1, n)-?-second submodules | en_US |
| dc.type | Article | en_US |
