Gaps for the Igusa-Todorov function

Marcos Barrios, Gustavo Mata, Gustavo Rama

For a finite dimensional algebra $A$ with $0<\varphi dim(A)=m<\infty$ we prove that there always exist modules $M$ and $N$ such that $\varphi (M)=m-1$ and $\varphi (N)=1$. On the other hand,…