Ortho-symmetric modules, Gorenstein algebras and derived equivalences
Hongxing Chen, Steffen Koenig
TL;DR
This paper introduces a new homological symmetry condition that unifies existing concepts and has applications in constructing tilting modules, derived equivalences, and characterizing Gorenstein properties of rings.
Contribution
It presents a novel homological symmetry condition that extends and unifies various recent concepts in algebra, enabling new constructions and characterizations.
Findings
Introduces a new homological symmetry condition.
Provides methods for constructing tilting modules and derived equivalences.
Characterizes Gorenstein properties of endomorphism rings.
Abstract
A new homological symmetry condition is exhibited that extends and unifies several recently defined and widely used concepts. Applications include general constructions of tilting modules and derived equivalences, and characterisations of Gorenstein properties of endomorphism rings.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Nonlinear Waves and Solitons · Advanced Topics in Algebra