Cofinitely Supplemented Modular Lattices
| dc.contributor.author | Alizade, Rafail | |
| dc.contributor.author | Toksoy, Sultan Eylem | |
| dc.coverage.doi | 10.1007/s13369-011-0095-z | |
| dc.date.accessioned | 2017-03-01T13:40:01Z | |
| dc.date.available | 2017-03-01T13:40:01Z | |
| 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 v b there exists an element c of b/0 such that a v c 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. | en_US |
| dc.identifier.citation | Alizade, R., and Toksoy, S.E. (2011). Cofinitely supplemented modular lattices. Arabian Journal for Science and Engineering, 36(6), 919-923. doi:10.1007/s13369-011-0095-z | en_US |
| dc.identifier.doi | 10.1007/s13369-011-0095-z | |
| dc.identifier.doi | 10.1007/s13369-011-0095-z | en_US |
| dc.identifier.issn | 1319-8025 | |
| dc.identifier.issn | 2191-4281 | |
| dc.identifier.scopus | 2-s2.0-80053358674 | |
| dc.identifier.uri | http://doi.org/10.1007/s13369-011-0095-z | |
| dc.identifier.uri | https://hdl.handle.net/11147/4941 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Verlag | en_US |
| dc.relation.ispartof | Arabian Journal for Science and Engineering | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Ample supplement | en_US |
| dc.subject | Amply cofinitely supplemented lattice | en_US |
| dc.subject | Cofinite element | en_US |
| dc.subject | Cofinitely supplemented lattice | en_US |
| dc.title | Cofinitely Supplemented Modular Lattices | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Toksoy, Sultan Eylem | |
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| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.endpage | 923 | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 919 | en_US |
| gdc.description.volume | 36 | en_US |
| gdc.description.wosquality | Q2 | |
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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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