32 citations · 32 across the 2 of their papers we have counts for
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math.AC2018
Complete Intersection Hom Injective Dimension
Sean K. Sather-Wagstaff, Jonathan P. Totushek
We introduce and investigate a new injective version of the complete intersection dimension of Avramov, Gasharov, and Peeva. It is like the complete intersection injective dimensio…
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…