24 citations · 68 across the 20 of their papers we have counts for
4 papers · 1 filter
Chevalley Warning type results on abelian groups
Erhard Aichinger, Jakob Moosbauer
We develop a notion of degree for functions between two abelian groups that allows us to generalize the Chevalley Warning Theorems from fields to noncommutative rings or abelian gr…
A clonoid based approach to some finiteness results in universal algebraic geometry
Erhard Aichinger, Bernardo Rossi
We prove that for a finite first order structure and a set of first order formulas in its language with certain closure properties, the finitary relations on t…
Congruence preserving expansions of nilpotent algebras
Erhard Aichinger, Gábor Horváth
We characterize those nilpotent algebras of prime power order and finite type in congruence modular varieties that have infinitely many polynomially inequivalent congruence preserv…
Solving systems of equations in supernilpotent algebras
Erhard Aichinger
Recently, M. Kompatscher proved that for each finite supernilpotent algebra in a congruence modular variety, there is a polynomial time algorithm to solve polynomial e…