Foulis Quantales and Complete Orthomodular Lattices
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F25%3A00142413" target="_blank" >RIV/00216224:14310/25:00142413 - isvavai.cz</a>
Alternative codes found
RIV/61989592:15310/25:73633739
Result on the web
<a href="https://link.springer.com/chapter/10.1007/978-3-031-97225-6_25" target="_blank" >https://link.springer.com/chapter/10.1007/978-3-031-97225-6_25</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-031-97225-6_25" target="_blank" >10.1007/978-3-031-97225-6_25</a>
Alternative languages
Result language
angličtina
Original language name
Foulis Quantales and Complete Orthomodular Lattices
Original language description
Our approach establishes a natural correspondence between complete orthomodular lattices and certain types of quantales. Firstly, given a complete orthomodular lattice X, we associate with it a Foulis quantale Lin(X) consisting of its endomorphisms. This allows us to view X as a left module over Lin(X), thereby introducing a novel fuzzy-theoretic perspective to the study of complete orthomodular lattices. Conversely, for any Foulis quantale Q, we associate a complete orthomodular lattice [Q] that naturally forms a left Q-module. Furthermore, there exists a canonical homomorphism of Foulis quantales from Q to Lin([Q]).
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
—
OECD FORD branch
10100 - Mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Advances in Fuzzy Logic and Technology : 14th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2025, Riga, Latvia, July 21–25, 2025, Proceedings, Part I
ISBN
9783031972249
ISSN
0302-9743
e-ISSN
1611-3349
Number of pages
13
Pages from-to
309-321
Publisher name
Springer
Place of publication
Cham
Event location
Riga
Event date
Jul 21, 2025
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
001590328000025