Topogenous orders and closure operators on posets
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Topogenous orders and closure operators on posets
Original language description
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.
Czech name
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Czech description
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Classification
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
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Turkish Journal of Mathematics
ISSN
1300-0098
e-ISSN
1303-6149
Volume of the periodical
48
Issue of the periodical within the volume
3
Country of publishing house
TR - TURKEY
Number of pages
8
Pages from-to
469-476
UT code for WoS article
001228503800008
EID of the result in the Scopus database
2-s2.0-85195321780