E. Aichinger

activity

20112026

most citedChevalley Warning type results on abelian groups

24 citations · 68 across the 20 of their papers we have counts for

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Showing 2016Show all

3 papers · 1 filter

math.RA2016★ 9 cited

Congruence lattices forcing nilpotency

Erhard Aichinger

Given a lattice $L$ and a class $K$ of algebraic structures, we say that $L$ \emph{forces nilpotency} in $K$ if every algebra $A \in K$ whose congruence…

math.LO2016

On the local closure of clones on countable sets

Erhard Aichinger

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…

math.AC2016★ 1 cited

On function compositions that are polynomials

Erhard Aichinger

For a polynomial map $f : k^{n} \to k^{m}$ ( $k$ a field), we investigate those polynomials $g \in k [t_{1}, \dots, t_{n}]$ that can be written as a composition $g = h \circ \mathbf…