The finitistic dimension of an Artin algebra with radical square zero

Gélinas, Vincent

doi:10.1090/proc/15441

The finitistic dimension of an Artin algebra with radical square zero
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by Vincent Gélinas

Proc. Amer. Math. Soc. 149 (2021), 5001-5012

DOI: https://doi.org/10.1090/proc/15441

Published electronically: September 9, 2021

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Abstract:

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

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