Operator residuation in orthomodular posets of finite height

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F23%3A73620557" target="_blank" >RIV/61989592:15310/23:73620557 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0165011423002348" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0165011423002348</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss2023.108589" target="_blank" >10.1016/j.fss2023.108589</a>

Result language
angličtina
Original language name
Operator residuation in orthomodular posets of finite height
Original language description
It is shown that in every orthomodular poset P of finite height can be defined two operators forming an adjoint pair. This enables to introduce the so-called operator residuated poset corresponding to P from which the original poset P can be recovered. It is shown that this construction can be applied also to weakly orthomodular and dually weakly orthomodular posets.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/GF20-09869L" target="_blank" >GF20-09869L: The many facets of orthomodularity</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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