# FUN-Veranstaltungen

FoFö-Stammtisch, 23. November 2017, 14 Uhr siehe Info-Veranstaltungen

# Kontakt

Abteilung Forschungsunterstützung (FUN):
forschen@jku.at

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# Forschungseinheiten

Aufsatz / Paper in SCI-Expanded-Zeitschrift

## 2-affine complete algebras need not be affine complete

Aichinger E.: 2-affine complete algebras need not be affine complete, 2002.

BibTeX

@ARTICLE{
title = {2-affine complete algebras need not be affine complete},
type = {Aufsatz / Paper in SCI-Expanded-Zeitschrift},
author = {Aichinger, Erhard},
language = {EN},
abstract = {For each $k \in \N$, we exhibit a finite algebra $\ab{R}_k$ such that $\ab{R}_k$ is $k$-affine complete, but not $(k+1)$-affine complete; this means that every $k$-ary congruence preserving function on $\ab{R}_k$ lies in $\Pol_k \ab{R}_k$, but there is a $(k+1)$-ary congruence preserving function of $\ab{R}_k$ that does not lie in $\Pol_{k+1} \ab{R}_k$.},
isbn = {0002-5240},
year = {2002},
note = {Zitatsnotiz: Erhard Aichinger. 2-affine complete algebras need not be affine complete. Algebra Universalis 47 (2002), 425-434.},
}

### Details

Zusammenfassung: For each $k \in \N$, we exhibit a finite algebra $\ab{R}_k$ such that $\ab{R}_k$ is $k$-affine complete, but not $(k+1)$-affine complete; this means that every $k$-ary congruence preserving function on $\ab{R}_k$ lies in $\Pol_k \ab{R}_k$, but there is a $(k+1)$-ary congruence preserving function of $\ab{R}_k$ that does not lie in $\Pol_{k+1} \ab{R}_k$.

Erscheinungsjahr: 2002
Anzahl Seiten: 10