The finitistic dimension of an Artin algebra with radical square zero

Abstract

We investigate the inequality $\mathrm{Findim}{\Lambda }^{op}\le \mathrm{dell}\Lambda$ between the finitistic dimension and the delooping level of an Artin algebra $\Lambda$, and whether equality holds in general. We prove that equality $\mathrm{Findim}{\Lambda }^{op}=\mathrm{dell}\Lambda$ always holds for Artin algebras with radical square zero.

9 page, comments welcome