3 papers
math.RT2025
Radical preservation and the finitistic dimension
Odysseas Giatagantzidis
We introduce the notion of radical preservation and prove that a radical-preserving homomorphism of left artinian rings of finite projective dimension with superfluous kernel refle…
math.RT2025
Monomial arrow removal and the finitistic dimension conjecture
Karin Erdmann, Odysseas Giatagantzidis, Chrysostomos Psaroudakis +1
In this paper, we introduce the monomial arrow removal operation for bound quiver algebras, and show that it is a novel reduction technique for determining the finiteness of the fi…
math.RT2025
Arrow reductions for the finitistic dimension conjecture
Odysseas Giatagantzidis
We present new techniques for removing arrows of bound quiver algebras, reducing thus the Finitistic Dimension Conjecture for a given algebra to a smaller one. Unl…