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arXiv · 2004.14131

An Upper Bound for the Dimension of Bounded Derived Categories

Junling Zheng·Zhaoyong Huang
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Abstract

Let $\Lambda$ be an artin algebra. We give an 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 and injective dimensions of certain class of simple right $\Lambda$-modules as well as the radical layer length of $\Lambda$. In addition, we give an upper bound for the dimension of the singularity category of $\mod \Lambda$ in terms of the radical layer length of $\Lambda$.

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Junling Zheng, Zhaoyong Huang. 2020-04-29. An Upper Bound for the Dimension of Bounded Derived Categories. https://arxiv.org/abs/2004.14131

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