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arXiv · 1411.6563

Homological Dimensions with Respect to a Semidualizing Complex

Jonathan Totushek
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Abstract

In this paper we build off of Takahashi and White's $\mathcal{P}_C$-projective dimension and $\mathcal{I}_C$-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.

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Jonathan Totushek. 2014-11-24. Homological Dimensions with Respect to a Semidualizing Complex. https://arxiv.org/abs/1411.6563

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