… properties with projective dimension. In the second section, we introduce the notion of a
semidualizing complex, which is a generalization of both a dualizing complex and a suitable …

… dimension is defined similarly and the IC-injective dimension is defined dually. We develop
the framework for these homological dimensions … how these dimensions interact with other …

… question: Given two semidualizing complexes B and C over a … set of isomorphism classes
of semidualizing complexes. This … If X has finite length homology, then CI-idR(X) is finite if and …

… In this section we recall several notions from commutative and homological algebra and fix
some notations which will be used throughout the paper. By a ring R we will always mean a …

… for investigating co homology theories in algebraic geometry. In this paper, we investigate
semi dualizing modules and … Since the homology of the complex X has support equal to m, the …

… dimension (in the sense of [MAu67]). The study of CR(R) also provides us with valuable
information about the semidualizing complex … well as the amplitude (homological size) of C, and …

… any semi-dualizing complex C , and any complex Z with bounded and finitely generated
homology… When C = A (and Z is a module), we recover Auslander–Bridger's G - dimension by [2, …

… be viewed as cokernels of totally FC-acyclic complexes (see Definition 3.1). Inspired by [1…
22], we define in this paper a kind of Tate homology of modules admitting Tate FC-resolutions …

… Analogous results for other homological dimensions are also given. … The R -modules R is
always semidualizing. A semidualizing complex is dualizing if and only if it has finite injective …

… -isomorphism classes of semidualizing complexes over a local … below and degreewise finite
R-complexes such that K ⊗L … module H(X), respectively each individual homology module …