Chevalley Warning type results on abelian groups
Erhard Aichinger, Jakob Moosbauer

TL;DR
This paper generalizes the Chevalley Warning Theorems from fields to abelian groups and noncommutative rings by introducing a new notion of degree for functions between abelian groups.
Contribution
It introduces a novel degree concept for functions between abelian groups, extending classical theorems to broader algebraic structures.
Findings
Generalization of Chevalley Warning Theorems to abelian groups
Development of a degree notion for functions between abelian groups
Application to noncommutative rings and prime power order groups
Abstract
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 groups of prime power order.
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