Publication: ⊕-Supplemented Lattices
| dc.authorscopusid | 57202735203 | |
| dc.authorscopusid | 36142255600 | |
| dc.contributor.author | Biçer, C. | |
| dc.contributor.author | Nebiyev, C. | |
| dc.date.accessioned | 2020-06-21T13:04:58Z | |
| dc.date.available | 2020-06-21T13:04:58Z | |
| dc.date.issued | 2019 | |
| dc.department | Ondokuz Mayıs Üniversitesi | en_US |
| dc.department-temp | [Biçer] Çiğdem, Ondokuz Mayis Üniversitesi, Samsun, Turkey; [Nebiyev] Celil, Ondokuz Mayis Üniversitesi, Samsun, Turkey | en_US |
| dc.description.abstract | In tliis work, ⊕-supplemented and strongly ⊕-supplemented lattices are defined and investigated some properties of these lattices. Let L be a lattice and 1 = a<inf>1</inf> ⊕ a<inf>2</inf> ⊕ ... ⊕ a<inf>n</inf> with a<inf>1</inf>, a<inf>2</inf>,..., a<inf>n</inf> ∉ L. If a<inf>i</inf>/0 is ⊕-supplemented for each i = 1,2,..., n, then L is also ⊕-supplemented. Let L be a distributive lattice and 1 = a<inf>1</inf>⊕a<inf>2</inf> ⊕ ... ⊕ a<inf>n</inf> with a<inf>1</inf>, a<inf>2</inf>,....,a<inf>n</inf> ε L. If a<inf>i</inf>/0 is strongly ⊕-supplemented for each i = 1,2,..., n, then L is also strongly ⊕-supplemented. A lattice L has (D1) property if and only if L is amply supplemented and strongly ⊕-supplemented. © 2019 Miskolc University Press. | en_US |
| dc.identifier.doi | 10.18514/MMN.2019.2806 | |
| dc.identifier.endpage | 780 | en_US |
| dc.identifier.issn | 1787-2405 | |
| dc.identifier.issn | 1787-2413 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.scopus | 2-s2.0-85077681513 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 773 | en_US |
| dc.identifier.uri | https://doi.org/10.18514/MMN.2019.2806 | |
| dc.identifier.volume | 20 | en_US |
| dc.identifier.wos | WOS:000504461100010 | |
| dc.identifier.wosquality | Q2 | |
| dc.language.iso | en | en_US |
| dc.publisher | University of Miskolc matronto@uni-miskolc.hu | en_US |
| dc.relation.ispartof | Miskolc Mathematical Notes | en_US |
| dc.relation.journal | Miskolc Mathematical Notes | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Complemented Lattices | en_US |
| dc.subject | Lattices | en_US |
| dc.subject | Small Elements | en_US |
| dc.subject | Supplemented Lattices | en_US |
| dc.title | ⊕-Supplemented Lattices | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication |