7 problems

Extended Wilf conjecture. The inequality

Cisto's Generalized Wilf conjecture. The inequality

Let $n\geq 2$, let $M=\mathbf P(n,\mathbb N)$, and let $S$ be a unipotent numerical monoid in $M$. Let $\varphi(S)$ be its image in $\mathbb N^{n-1}$ under the monoid isomorphism…

Let $G$ be a unipotent linear algebraic group, and let $M=G_{\mathbb N}$. Let $S$ be a unipotent numerical monoid in $M$, with relative conductor $\mathtt{c}_M(S)$, relative sporad…

Bound conjecture. For any semigroup $\Gamma$,

Frögoh"amosa conjecture. The equality

Let $S$ be a numerical semigroup, let $q$ denote its quotient, and let $P$ and $L$ be the primitive elements and left part associated with $S$. Write $n=|P\cap L|$, and let…