Topogenous orders and closure operators on posets

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F24%3APU151463" target="_blank" >RIV/00216305:26210/24:PU151463 - isvavai.cz</a>
Výsledek na webu
<a href="https://journals.tubitak.gov.tr/math/vol48/iss3/8/" target="_blank" >https://journals.tubitak.gov.tr/math/vol48/iss3/8/</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.55730/1300-0098.3519" target="_blank" >10.55730/1300-0098.3519</a>

Jazyk výsledku
angličtina
Název v původním jazyce
Topogenous orders and closure operators on posets
Popis výsledku v původním jazyce
We introduce the notion of topogenous orders on a poset X to be certain endomaps on X. We build on a Galois connection between endomaps and binary relations on X and study relationships between endomap properties and corresponding relational properties. In particular, we determine the topogenous orders that are in a one-to-one correspondence with (idempotent) closure operators. Extending our considerations to the categorical level, we find a cartesian closed category of topogenous systems.
Název v anglickém jazyce
Topogenous orders and closure operators on posets
Popis výsledku anglicky
We introduce the notion of topogenous orders on a poset X to be certain endomaps on X. We build on a Galois connection between endomaps and binary relations on X and study relationships between endomap properties and corresponding relational properties. In particular, we determine the topogenous orders that are in a one-to-one correspondence with (idempotent) closure operators. Extending our considerations to the categorical level, we find a cartesian closed category of topogenous systems.

Rok uplatnění
2024
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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