Sheffer operations in complemented posets
| dc.contributor.author | Chajda, Ivan | |
| dc.contributor.author | Kolařík, Miroslav | |
| dc.coverage.issue | 1 | cs |
| dc.coverage.volume | 10 | cs |
| dc.date.accessioned | 2021-07-02T06:09:12Z | |
| dc.date.available | 2021-07-02T06:09:12Z | |
| dc.date.issued | 2021 | cs |
| dc.description.abstract | We show that in every downward directed poset with an antitone involu-tion the so-called Sheffer operation can be introduced satisfying certain identities.However, also conversely, if we have given a Sheffer operation|on a setP, thenPcan be converted into a poset with an antitone involution′, where both′and theorder relation≤are derived by|. Using this, we can characterize orthoposets, i.e.bounded posets with complementation which is an antitone involution by means ofidentities satisfied by this Sheffer operation. Also conversely, if|is a Sheffer oper-ation on a given setPsatisfying these identities, thenPcan be organized into anorthoposet. | en |
| dc.format | text | cs |
| dc.format.extent | 1-7 | cs |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | Mathematics for Applications. 2021 vol. 10, č. 1, s. 1-7. ISSN 1805-3629 | cs |
| dc.identifier.doi | 10.13164/ma.2021.01 | en |
| dc.identifier.issn | 1805-3629 | |
| dc.identifier.uri | http://hdl.handle.net/11012/200370 | |
| dc.language.iso | en | cs |
| dc.publisher | Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky | cs |
| dc.relation.ispartof | Mathematics for Applications | en |
| dc.relation.uri | http://ma.fme.vutbr.cz/archiv/10_1/ma_10_1_chajda_kolarik_final.pdf | cs |
| dc.rights | © Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky | cs |
| dc.rights.access | openAccess | en |
| dc.title | Sheffer operations in complemented posets | en |
| dc.type.driver | article | en |
| dc.type.status | Peer-reviewed | en |
| dc.type.version | publishedVersion | en |
| eprints.affiliatedInstitution.department | Ústav matematiky | cs |
| eprints.affiliatedInstitution.faculty | Fakulta strojního inženýrství | cs |
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