<div class="csl-bib-body">
<div class="csl-entry">Chajda, I., & Länger, H. (2023). Operator residuation in orthomodular posets of finite height. <i>Fuzzy Sets and Systems</i>, <i>467</i>, Article 108589. https://doi.org/10.1016/j.fss.2023.108589</div>
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dc.identifier.issn
0165-0114
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/177603
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dc.description.abstract
We show that for every orthomodular poset of finite height there can be defined two operators forming an adjoint pair with respect to an order-like relation defined on the power set of P. This enables us to introduce the so-called operator residuated poset corresponding to P from which the original orthomodular poset P can be recovered. We show that this construction of operators can be applied also to so-called weakly orthomodular and dually weakly orthomodular posets. Examples of such posets are included.
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dc.description.sponsorship
FWF Fonds zur Förderung der wissenschaftlichen Forschung (FWF)
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dc.language.iso
en
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dc.publisher
ELSEVIER
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dc.relation.ispartof
Fuzzy Sets and Systems
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dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
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dc.subject
orthomodular poset
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dc.subject
weakly orthomodular poset
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dc.subject
dually weakly orthomodular poset
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dc.subject
poset of finite height
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dc.subject
operator residuated structure
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dc.subject
left adjointness
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dc.title
Operator residuation in orthomodular posets of finite height
