Algebraic Properties of Paraorthomodular Posets
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F22%3A00127892" target="_blank" >RIV/00216224:14310/22:00127892 - isvavai.cz</a>
Alternative codes found
RIV/61989592:15310/22:73616889
Result on the web
<a href="https://academic.oup.com/jigpal/article/30/5/840/6317499" target="_blank" >https://academic.oup.com/jigpal/article/30/5/840/6317499</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1093/jigpal/jzab024" target="_blank" >10.1093/jigpal/jzab024</a>
Alternative languages
Result language
angličtina
Original language name
Algebraic Properties of Paraorthomodular Posets
Original language description
Paraorthomodular posets are bounded partially ordered sets with an antitone involution induced by quantum structures arising from the logico-algebraic approach to quantum mechanics. The aim of the present work is starting a systematic inquiry into paraorthomodular posets theory both from algebraic and order-theoretic perspectives. On the one hand, we show that paraorthomodular posets are amenable of an algebraic treatment by means of a smooth representation in terms of bounded directoids with antitone involution. On the other, we investigate their order-theoretical features in terms of forbidden configurations. Moreover, sufficient and necessary conditions characterizing bounded posets with an antitone involution whose Dedekind–MacNeille completion is paraorthomodular are provided.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GF20-09869L" target="_blank" >GF20-09869L: The many facets of orthomodularity</a><br>
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Logic Journal of the IGPL
ISSN
1367-0751
e-ISSN
1368-9894
Volume of the periodical
30
Issue of the periodical within the volume
5
Country of publishing house
GB - UNITED KINGDOM
Number of pages
30
Pages from-to
840-869
UT code for WoS article
000764408200001
EID of the result in the Scopus database
2-s2.0-85147165094