2 papers
math.RT2026
Polynomial identities for quivers via incidence algebras
Allan Berele, Giovanni Cerulli Irelli, Javier De Loera Chávez +1
We show that the path algebra of a quiver satisfies the same polynomial identities of an algebra of matrices, if any. In particular, the algebra of nxn matrices is PI-equivalent to…
math.RT2025
Quivers with Polynomial Identities
Giovanni Cerulli Irelli, Javier De Loera Chávez, Elena Pascucci
We provide a topological characterization of quivers whose path algebra satisfies a polynomial identity. This class includes the oriented cycle and acyclic quivers and, in the latt…