Cofinitely Supplemented Modular Lattices
| dc.contributor.author | Rafail Alizade | |
| dc.contributor.author | Sultan Eylem Toksoy | |
| dc.contributor.author | Alizade, Rafail | |
| dc.contributor.author | Toksoy, Sultan Eylem | |
| dc.date | OCT | |
| dc.date.accessioned | 2025-10-06T16:20:54Z | |
| dc.date.issued | 2011 | |
| dc.description.abstract | In this paper it is shown that a lattice L is a cofinitely supplemented lattice if and only if every maximal element of L has a supplement in L. If a/0 is a cofinitely supplemented sublattice and 1/a has no maximal element then L is cofinitely supplemented. A lattice L is amply cofinitely supplemented if and only if every maximal element of L has ample supplements in L if and only if for every cofinite element a and an element b of L with a boolean OR b = 1 there exists an element c of b/0 such that a boolean OR c = 1 where c is the join of finite number of local elements of b/0. In particular a compact lattice L is amply supplemented if and only if every maximal element of L has ample supplements in L. | |
| dc.identifier.doi | 10.1007/s13369-011-0095-z | |
| dc.identifier.issn | 1319-8025 | |
| dc.identifier.issn | 2191-4281 | |
| dc.identifier.scopus | 2-s2.0-80053358674 | |
| dc.identifier.uri | http://dx.doi.org/10.1007/s13369-011-0095-z | |
| dc.identifier.uri | https://gcris.yasar.edu.tr/handle/123456789/6617 | |
| dc.identifier.uri | https://doi.org/10.1007/s13369-011-0095-z | |
| dc.language.iso | English | |
| dc.publisher | SPRINGER HEIDELBERG | |
| dc.relation.ispartof | Arabian Journal for Science and Engineering | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.source | ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING | |
| dc.subject | Cofinite element, Ample supplement, Amply supplemented lattice, Cofinitely supplemented lattice, Amply cofinitely supplemented lattice | |
| dc.subject | Ample Supplement | |
| dc.subject | Cofinitely Supplemented Lattice | |
| dc.subject | Amply Cofinitely Supplemented Lattice | |
| dc.subject | Cofinite Element | |
| dc.subject | Amply Supplemented Lattice | |
| dc.title | Cofinitely Supplemented Modular Lattices | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| gdc.author.id | TOKSOY, SULTAN EYLEM/0000-0002-0286-1870 | |
| gdc.author.id | Alizade, Refail/0000-0003-4444-9136 | |
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| gdc.author.wosid | TOKSOY, SULTAN EYLEM/AAZ-9223-2021 | |
| gdc.author.wosid | Alizade, Refail/AAW-1211-2020 | |
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| gdc.description.department | ||
| gdc.description.departmenttemp | [Alizade, Rafail] Yasar Univ, Dept Math, TR-35100 Izmir, Turkey; [Toksoy, Sultan Eylem] Izmir Inst Technol, Dept Math, TR-35430 Izmir, Turkey | |
| gdc.description.endpage | 923 | |
| gdc.description.issue | 6 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| gdc.description.startpage | 919 | |
| gdc.description.volume | 36 | |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.identifier.openalex | W2046281337 | |
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| gdc.oaire.keywords | Ample supplement | |
| gdc.oaire.keywords | Cofinite element | |
| gdc.oaire.keywords | Amply cofinitely supplemented lattice | |
| gdc.oaire.keywords | Cofinitely supplemented lattice | |
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| person.identifier.orcid | Alizade- Refail/0000-0003-4444-9136, TOKSOY- SULTAN EYLEM/0000-0002-0286-1870, | |
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