Czechoslovak Mathematical Journal, Vol. 71, No. 4, pp. 1167-1172, 2021
Derived dimension via $\tau$-tilting theory
Yingying Zhang
Received July 28, 2020. Published online April 26, 2021.
Abstract: Comparing the bounded derived categories of an algebra and of the endomorphism algebra of a given support $\tau$-tilting module, we find a relation between the derived dimensions of an algebra and of the endomorphism algebra of a given $\tau$-tilting module.
Keywords: support $\tau$-tilting module; endomorphism algebra; derived dimension
Affiliations: Yingying Zhang, Department of Mathematics, College of Science, Huzhou University, No. 759 Erhuan East Road, Huzhou 313000, Zhejiang Province, P. R. China, e-mail: yyzhang@zjhu.edu.cn