The Igusa-Todorov $\varphi$ function for truncated path algebras

Marcos Barrios, Gustavo Mata, Gustavo Rama

Given a truncated path algebra $A=\frac{\mathbb{k}Q}{J^k}$ we prove that $\fidim A = \fidim A^{\op}$. We also compute the $\varphi$-dimension of $A$ in function of the $\varphi$-dimension of $\fra…