<div class="csl-bib-body">
<div class="csl-entry">Chajda, I., & Länger, H. (2022). Residuation in twist products and pseudo-Kleene posets. <i>Mathematica Bohemica</i>, <i>147</i>(3), 369–383. https://doi.org/10.21136/MB.2021.0182-20</div>
</div>
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dc.identifier.issn
0862-7959
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/80505
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dc.description.abstract
M. Busaniche, R.Cignoli (2014), C.Tsinakis and A.M.Wille (2006) showed that every residuated lattice induces a residuation on its full twist product. For their construction they used also lattice operations. We generalize this problem to left-residuated groupoids which need not be lattice-ordered. Hence, we cannot use the same construction for the full twist product. We present another appropriate construction which, however, does not preserve commutativity and associativity of multiplication. Hence we introduce
the so-called operator residuated posets to obtain another construction which preserves the mentioned properties, but the results of operators on the full twist product need not be elements, but may be subsets. We apply this construction also to restricted twist products and present necessary and sufficient conditions under which we obtain a pseudo-Kleene operator residuated poset.
en
dc.language.iso
en
-
dc.relation.ispartof
Mathematica Bohemica
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dc.subject
left-residuated poset
en
dc.subject
operator residuated poset
en
dc.subject
twist product
en
dc.subject
pseudo-Kleene poset
en
dc.subject
Kleene poset
en
dc.title
Residuation in twist products and pseudo-Kleene posets
en
dc.type
Article
en
dc.type
Artikel
de
dc.description.startpage
369
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dc.description.endpage
383
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dcterms.dateSubmitted
2020
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dc.type.category
Original Research Article
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tuw.container.volume
147
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tuw.container.issue
3
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tuw.journal.peerreviewed
true
-
tuw.peerreviewed
true
-
wb.publication.intCoWork
International Co-publication
-
tuw.researchTopic.id
X1
-
tuw.researchTopic.name
Beyond TUW-research foci
-
tuw.researchTopic.value
100
-
dcterms.isPartOf.title
Mathematica Bohemica
-
tuw.publication.orgunit
E104 - Institut für Diskrete Mathematik und Geometrie
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tuw.publisher.doi
10.21136/MB.2021.0182-20
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dc.date.onlinefirst
2021-08-26
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dc.description.numberOfPages
15
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dc.description.sponsorshipexternal
Austrian Science Fund
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dc.description.sponsorshipexternal
Czech Science Foundation
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dc.description.sponsorshipexternal
OeAD-GmbH
-
dc.description.sponsorshipexternal
IGA
-
dc.relation.grantnoexternal
I 4579-N
-
dc.relation.grantnoexternal
20-09869
-
dc.relation.grantnoexternal
CZ 02/2019
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dc.relation.grantnoexternal
PrF 2021 030
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
-
wb.sciencebranch.value
100
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item.cerifentitytype
Publications
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item.openairetype
research article
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item.languageiso639-1
en
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item.fulltext
no Fulltext
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item.grantfulltext
restricted
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item.openairecristype
http://purl.org/coar/resource_type/c_2df8fbb1
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crisitem.author.dept
E104 - Institut für Diskrete Mathematik und Geometrie