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arXiv · 2105.04189

Radical layer length and syzygy-finite algebras

Junling Zheng
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Abstract

Let $\Lambda$ be an artin algebra. We obtain that $\Lambda$ is syzygy-finite when the radical layer length of $\Lambda$ is at most two; as two consequences, we give a new upper bound for the dimension of the bounded derived category of the category $\mod \Lambda$ of finitely generated right $\Lambda$-modules in terms of the projective of certain class of simple right $\Lambda$-modules and also get the left big finitistic dimension conjecture holds.

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Junling Zheng. 2021-05-10. Radical layer length and syzygy-finite algebras. https://arxiv.org/abs/2105.04189

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