Varieties of ordered algebras as categories

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F23%3A00373087" target="_blank" >RIV/68407700:21230/23:00373087 - isvavai.cz</a>
Alternative codes found
RIV/00216224:14310/23:00134075
Result on the web
<a href="https://doi.org/10.1007/s00012-023-00806-8" target="_blank" >https://doi.org/10.1007/s00012-023-00806-8</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00012-023-00806-8" target="_blank" >10.1007/s00012-023-00806-8</a>

Result language
angličtina
Original language name
Varieties of ordered algebras as categories
Original language description
A variety is a category of ordered (finitary) algebras presented by inequations between terms. We characterize categories enriched over the category of posets which are equivalent to a variety. This is quite analogous to Lawvere's classical characterization of varieties of ordinary algebras. We also study the relationship of varieties to discrete Lawvere theories, and varieties as concrete categories over Pos.
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
—
OECD FORD branch
10101 - Pure mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

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

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