A note on the associativity of functions induced by pair-orders

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F25%3AA2603BM3" target="_blank" >RIV/61988987:17610/25:A2603BM3 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0165011425003756" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0165011425003756</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2025.109636" target="_blank" >10.1016/j.fss.2025.109636</a>

Result language
angličtina
Original language name
A note on the associativity of functions induced by pair-orders
Original language description
The associativity of idempotent functions induced by pair-orders is studied. Each idempotent (internal), associative function can be represented by a (linear) pair-order, however, there are pair-orders that induce idempotent functions that are not associative. Previously, the associativity of a function induced by a pair-order was studied only for monotone functions defined on a chain. In this paper, we further study theconditions for associativity of functions induced by pair-orders, defined on general sets.
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
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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