Abstract
In this paper, we build off of Takahashi and White's $\catpc $-projective dimension and $\catic $-injective dimension to define these dimensions for when $C$ is a semidaulizing complex. We develop the framework for these homological dimensions by establishing base change results and local-global behavior. Furthermore, we investigate how these dimensions interact with other invariants.
Citation
Jonathan Totushek. "Homological dimensions with respect to a semidualizing complex." J. Commut. Algebra 8 (2) 275 - 293, 2016. https://doi.org/10.1216/JCA-2016-8-2-275
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