Bounds on the number of ideals in finite commutative nilpotent ${\mathbb{F}}_p$-algebras

Lindsay N. Childs, Cornelius Greither

Let $A$ be a finite commutative nilpotent ${\mathbb{F}}_p$-algebra structure on $G$, an elementary abelian group of order $p^n$. If $K/k$ is a Galois extension of fields with Galois…