The study of various concepts of polynomial completeness,
such as affine completeness or polynomial richness
has provided a large number of finite algebras
whose clone of polynomial functions is determined
by finitely many relations; such clones have also been
called "finitely related".
In fact, it has been conjectured that the polynomial clone
of every finite algebra with a Mal'cev term is finitely
related. In this talk, we give an account on recent
progress on this conjecture.
This is joint work with P. Mayr (Lisbon, Portugal).
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Hauptvortrag / Eingeladener Vortrag auf einer Tagung