Relatively pseudocomplemented posets

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F18%3A73590045" target="_blank" >RIV/61989592:15310/18:73590045 - isvavai.cz</a>
Result on the web
<a href="http://mb.math.cas.cz/full/143/1/mb143_1_6.pdf" target="_blank" >http://mb.math.cas.cz/full/143/1/mb143_1_6.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/MB.2017.0037-16" target="_blank" >10.21136/MB.2017.0037-16</a>

Result language
angličtina
Original language name
Relatively pseudocomplemented posets
Original language description
We extend the notion of a relatively pseudocomplemented meet-semilattice to arbitrary posets. We show some properties of the binary operation of relative pseudocomplementation and provide some corresponding characterizations. We show that relatively pseudocomplemented posets satisfying a certain simple identity in two variables are join-semilattices. Finally, we show that every relatively pseudocomplemented poset is distributive and that the converse holds for posets satisfying the ascending chain condition and one more natural condition. Suitable examples are provided.
Czech name
—
Czech description
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Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GF15-34697L" target="_blank" >GF15-34697L: New perspectives on residuated posets</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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