On the Denominator of the Poincaré series for monomial quotient rings

Hara Charalambous

Let $S=\mathbb{k}[x_1,...,x_n]$ be a polynomial ring over a field $\mathbb{k}$ and $I$ a monomial ideal of $S$. It is well known that the Poincaré series of $\mathbb{k}$ over $S/I$ is rational.…