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Derived dimension via τ-tilting theory

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Abstract

Comparing the bounded derived categories of an algebra and of the endomorphism algebra of a given support τ-tilting module, we find a relation between the derived dimensions of an algebra and of the endomorphism algebra of a given τ-tilting module.

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Acknowledgement

The author would like to thank Xiaowu Chen, Junling Zheng and Yu Zhou for their helpful discussions. The author also thanks the referee for very useful suggestions concerning the presentation of this paper.

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Authors and Affiliations

  1. Department of Mathematics, College of Science, Huzhou University, No. 759 Erhuan East Road, Huzhou, Zhejiang Province, 313000, P. R. China

    Yingying Zhang

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  1. Yingying Zhang
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Correspondence to Yingying Zhang.

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Zhang, Y. Derived dimension via τ-tilting theory. Czech Math J 71, 1167–1172 (2021). https://doi.org/10.21136/CMJ.2021.0321-20

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  • DOI: https://doi.org/10.21136/CMJ.2021.0321-20

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