On polynomial completeness properties of finite Mal’cev algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10489657" target="_blank" >RIV/00216208:11320/24:10489657 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=V2xhPGqipR" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=V2xhPGqipR</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0218196724500243" target="_blank" >10.1142/S0218196724500243</a>

Result language
angličtina
Original language name
On polynomial completeness properties of finite Mal’cev algebras
Original language description
Polynomial completeness results aim at characterizing those functions that are induced by polynomials. Each polynomial function is congruence preserving, but the opposite need not be true. A finite algebraic structure A is called strictly 1-affine complete if every unary partial function from a subset of A to A that preserves the congruences of A can be interpolated by a polynomial function of A. The problem of characterizing strictly 1-affine complete finite Mal'cev algebras is still open. In this paper, we extend the characterization by Aichinger and Idziak of strictly 1-affine complete expanded groups to finite congruence regular Mal'cev algebras.
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
10101 - Pure mathematics

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

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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