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arXiv · 2005.05203

The finitistic dimension of an Artin algebra with radical square zero

Vincent Gélinas
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Abstract

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

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Vincent Gélinas. 2020-05-11. The finitistic dimension of an Artin algebra with radical square zero. https://arxiv.org/abs/2005.05203

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