A universal algebraic approach to rack coverings

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10509778" target="_blank" >RIV/00216208:11320/25:10509778 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=1VymBS7q.D" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=1VymBS7q.D</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S021821652550035X" target="_blank" >10.1142/S021821652550035X</a>

Result language
angličtina
Original language name
A universal algebraic approach to rack coverings
Original language description
We study rack and quandle coverings from a universal algebraic viewpoint. We show how coverings can be understood using the concept of strongly abelian congruences. We provide an abstract characterization of several particular types of covering extensions, such as central and abelian ones. We present a new characterization of simply connected quandles and we show that the categorical notion of normal extension coincides with the notion of central covering. We answer several questions from the papers of Clark, Saito and Vendramin about identities preserved by quandle coverings
Czech name
—
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
<a href="/en/project/GA18-20123S" target="_blank" >GA18-20123S: Expanding the Scope of Universal Algebra</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

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

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