Erhard Aichinger,
"On the local closure of clones on countable sets"
, in Algebra Universalis, Vol. 78, Seite(n) 355-361, 2017, ISSN: 0002-5240
Original Titel:
On the local closure of clones on countable sets
Sprache des Titels:
Englisch
Original Kurzfassung:
We consider clones on countable sets. If such a clone has quasigroup operations, is locally closed and countable,then there is a function $f : \N \to \N$ such that the $n$-ary part of $C$ is equal to the $n$-ary part of $\Pol \Inv^{[f(n)]} C$, where $\Inv^{[f(n)]} C$ denotes the set of $f(n)$-ary invariant relations of $C$.