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math.AC2014
Using semidualizing complexes to detect Gorenstein rings
Sean Sather-Wagstaff, Jonathan Totushek
A result of Foxby states that if there exists a complex with finite depth, finite flat dimension, and finite injective dimension over a local ring , then is Gorenstein. In t…
math.AC2014
Homological Dimensions with Respect to a Semidualizing Complex
Jonathan Totushek
In this paper we build off of Takahashi and White's -projective dimension and -injective dimension to define these dimensions for when is a semida…