Homological Dimensions with Respect to a Semidualizing Complex

2014/11/24 by Totushek, Jonathan · 1 citation
#13D02 #13D05 #13D09 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1411.6563

Abstract

In this paper we build off of Takahashi and White's P_C-projective dimension and 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.

Cited by

• Quasi-homological dimensions with respect to semidualizing modules

Related

• Cohen-Macaulay homological dimensions
• Homological aspects of semidualizing modules
• Using semidualizing complexes to detect Gorenstein rings
• Cohen-Macaulay injective, projective, and flat dimension
• Modules of finite homological dimension with respect to a semidualizing module