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
Classification MSC:  16E10, 16G10


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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


 
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