Tilting preserves finite global dimension
Bernhard Keller, Henning Krause
TL;DR
This paper establishes bounds on the global dimension of endomorphism rings derived from tilting objects in categories with finite global dimension, under certain finiteness conditions.
Contribution
It provides new bounds for the global dimension of endomorphism rings associated with tilting objects in finite global dimension categories.
Findings
Bound for global dimension of endomorphism rings
Conditions under which the bounds hold
Extension of tilting theory results
Abstract
Given a tilting object of the derived category of an abelian category of finite global dimension, we give (under suitable finiteness conditions) a bound for the global dimension of its endomorphism ring.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons