<div class="csl-bib-body">
<div class="csl-entry">Dorninger, D., & Länger, H. (2018). Structural properties of algebras of S-probabilities. <i>Mathematica Slovaca</i>, <i>68</i>(3), 485–490. https://doi.org/10.1515/ms-2017-0118</div>
</div>
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dc.identifier.issn
0139-9918
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/145030
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dc.description.abstract
Let S be a set of states of a physical system. The probabilities p(s) of the occurrence of an event when the system is in different states s ∈ S define a function from S to [0, 1] called a numerical event or, more precisely, an S-probability. A set of S-probabilities comprising the constant functions 0 and 1 which is structured by means of the addition and order of real functions in such a way that an orthomodular partially ordered set arises is called an algebra of S-probabilities, a structure significant as a quantum-logic with a full set of states. The main goal of this paper is to describe algebraic properties of algebras of S-probabilities through operations with real functions. In particular, we describe lattice characteristics and characterize Boolean features. Moreover, representations by sets are considered and pertinent examples provided.
en
dc.language.iso
en
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dc.publisher
WALTER DE GRUYTER GMBH
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dc.relation.ispartof
Mathematica Slovaca
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dc.subject
General Mathematics
en
dc.title
Structural properties of algebras of S-probabilities
en
dc.type
Artikel
de
dc.type
Article
en
dc.description.startpage
485
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dc.description.endpage
490
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dc.type.category
Original Research Article
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tuw.container.volume
68
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tuw.container.issue
3
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tuw.journal.peerreviewed
true
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tuw.peerreviewed
true
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tuw.researchTopic.id
X1
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tuw.researchTopic.name
außerhalb der gesamtuniversitären Forschungsschwerpunkte
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tuw.researchTopic.value
100
-
dcterms.isPartOf.title
Mathematica Slovaca
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tuw.publication.orgunit
E104-01 - Forschungsbereich Algebra
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tuw.publication.orgunit
E104 - Institut für Diskrete Mathematik und Geometrie
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tuw.publisher.doi
10.1515/ms-2017-0118
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dc.identifier.eissn
1337-2211
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dc.description.numberOfPages
6
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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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research article
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no Fulltext
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crisitem.author.dept
E104 - Institut für Diskrete Mathematik und Geometrie
-
crisitem.author.dept
E104 - Institut für Diskrete Mathematik und Geometrie