2 problems

Strongly stable-ideal bar-list conjecture. There is a biunivocal correspondence between $\mathcal{S}_{\pi}(p_1,\ldots,p_n)$ and $\mathcal{B}_{(p_1,\ldots,p_n)}$. This would provide…

Let $S=K[x_1,\ldots,x_n]$ and $S'=K[x_1,\ldots,x_m]$ be polynomial rings. Let $I$ be a strongly stable monomial ideal in $S$ generated by monomials of the same degree, and let…