Finitary Prelinear and Linear Orthosets

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F23%3A00132883" target="_blank" >RIV/00216224:14310/23:00132883 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s10773-023-05356-2" target="_blank" >https://doi.org/10.1007/s10773-023-05356-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10773-023-05356-2" target="_blank" >10.1007/s10773-023-05356-2</a>

Result language
angličtina
Original language name
Finitary Prelinear and Linear Orthosets
Original language description
An orthoset is a set equipped with a symmetric and irreflexive binary relation. A linear orthoset is an orthoset such that for any two distinct elements e, f there is a third element g such that exactly one of f and g is orthogonal to e and the pairs e, f and e, g have the same orthogonal complement. Linear orthosets naturally arise from anisotropic Hermitian spaces. We moreover define an orthoset to be prelinear by assuming the above-mentioned property for non-orthogonal pairs e, f only. In this paper, we establish some structural properties of prelinear and linear orthosets under the assumption of finiteness or finite rank.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

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)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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