<div class="csl-bib-body">
<div class="csl-entry">Chajda, I., & Länger, H. (2018). Derivations in Lukasiewicz semirings. <i>Miskolc Mathematical Notes</i>, <i>19</i>(2), 769–785. https://doi.org/10.18514/mmn.2018.2637</div>
</div>
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dc.identifier.issn
1787-2405
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/146045
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dc.description.abstract
An axiomatization of classical propositional logic is provided by means of Boolean
algebras which are term equivalent to Boolean rings. This is important because rings form a
classical part of algebra whose tools can be used for the investigations. The Łukasiewicz many-
valued logic was axiomatized via so-called MV-algebras by C. C. Chang in 1950’s. MV-algebras
are successfully applied in the logic of quantum mechanics and hence they are considered as
quantum structures. It is a natural question if also MV-algebras have their alter ego among
classical structures. For this reason the so-called Łukasiewicz semirings were introduced by
the first author and his collaborators in [3] – [4]. As shown, Łukasiewicz semirings are term
equivalent to MV-algebras and we can use with advantage several developed tools for their study.
In particular, we investigate derivations in semirings which were introduced formerly but here
these semirings are enriched by an involution.
en
dc.language.iso
en
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dc.publisher
UNIV MISKOLC INST MATH
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dc.relation.ispartof
Miskolc Mathematical Notes
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dc.subject
Analysis
en
dc.subject
Algebra and Number Theory
en
dc.subject
Numerical Analysis
en
dc.subject
Discrete Mathematics and Combinatorics
en
dc.subject
Control and Optimization
en
dc.title
Derivations in Lukasiewicz semirings
en
dc.type
Artikel
de
dc.type
Article
en
dc.description.startpage
769
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dc.description.endpage
785
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dc.type.category
Original Research Article
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tuw.container.volume
19
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tuw.container.issue
2
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tuw.journal.peerreviewed
true
-
tuw.peerreviewed
true
-
wb.publication.intCoWork
International Co-publication
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tuw.researchTopic.id
X1
-
tuw.researchTopic.name
außerhalb der gesamtuniversitären Forschungsschwerpunkte
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tuw.researchTopic.value
100
-
dcterms.isPartOf.title
Miskolc Mathematical Notes
-
tuw.publication.orgunit
E104-01 - Forschungsbereich Algebra
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tuw.publisher.doi
10.18514/mmn.2018.2637
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dc.identifier.eissn
1787-2413
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dc.description.numberOfPages
17
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wb.sci
true
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
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wb.facultyfocus
Diskrete Mathematik und Geometrie
de
wb.facultyfocus
Discrete Mathematics and Geometry
en
wb.facultyfocus.faculty
E100
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none
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Publications
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http://purl.org/coar/resource_type/c_2df8fbb1
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item.languageiso639-1
en
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item.openairetype
research article
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item.fulltext
no Fulltext
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crisitem.author.dept
E104 - Institut für Diskrete Mathematik und Geometrie