Igusa-Todorov distances of Artin algebras
Junling Zheng
TL;DR
This paper introduces Igusa-Todorov distances for Artin algebras, demonstrating their invariance under derived equivalence, applying them to exterior algebras, and linking them to the dimension of the singularity category.
Contribution
It defines Igusa-Todorov distances for Artin algebras and explores their invariance and applications, connecting them to singularity category dimensions.
Findings
Igusa-Todorov distances are invariant under derived equivalence.
Application of the distances to exterior algebras.
Established a link between the distance and the singularity category dimension.
Abstract
We introduce Igsua-Todorov distances of Artin algebra, prove its invariance under derived equivalence, present its application to exterior algebra, and establish the link between the dimension of the singularity category and this distance.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Rings, Modules, and Algebras