Derived dimension via {\tau}-tilting theory
Yingying Zhang
TL;DR
This paper explores the relationship between the derived dimensions of an algebra and its endomorphism algebra associated with support { au}-tilting modules, revealing new insights into their structural connections.
Contribution
It introduces a novel relation between the derived dimensions of an algebra and its support { au}-tilting module's endomorphism algebra.
Findings
Established a link between derived dimensions of algebra and endomorphism algebra
Provided theoretical framework connecting support { au}-tilting modules and derived categories
Enhanced understanding of algebraic structures via { au}-tilting theory
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.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Rings, Modules, and Algebras