Sublattices and delta-blocks of orthomodular posets

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F20%3A73603171" target="_blank" >RIV/61989592:15310/20:73603171 - isvavai.cz</a>
Result on the web
<a href="https://academic.oup.com/logcom/article/30/7/1401/5876954" target="_blank" >https://academic.oup.com/logcom/article/30/7/1401/5876954</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1093/logcom/exaa037" target="_blank" >10.1093/logcom/exaa037</a>

Result language
angličtina
Original language name
Sublattices and delta-blocks of orthomodular posets
Original language description
States of quantum systems correspond to vectors in a Hilbert space and observations to closed subspaces. Hence, this logic corresponds to the algebra of closed subspaces of a Hilbert space It was shown that the orthogonal subspaces form an orthomodular poset or, more general, an orthoposet. We introduce a binary relation delta and a binary operation d(x,y) that are generalizations of the binary relation C and the commutator c(x,y) known for orthomodular lattices. We characterize orthomodular posets among orthoposets. We describe maximal orthomodular sublattices and Boolan subalgebras of such orthomodular posets. We study properties of delta-blocks with respect to Boolean subalgebras and distributive subposets.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project
<a href="/en/project/GF20-09869L" target="_blank" >GF20-09869L: The many facets of orthomodularity</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)