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Reflexivity and rigidity for complexes, I: Commutative rings

Reflexivity and rigidity for complexes, I: Commutative rings

A notion of rigidity with respect to an arbitrary semidualizing complex C over a commutative noetherian ring R is introduced and studied.One of the main results characterizes C-rigid complexes.Specialized to the case when C is the relative dualizing complex of a homomorphism of rings of finite Gorenstein dimension, it leads …