… As an application of Theorem A, we provide some criteria for a semidualizing complex C
to be dualizing in terms of the existence of certain complexes of finite GC-dimension; see …

… 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 …

… It is known that over local regular rings, every module has finite homological dimension. In
[3… of the homological dimensions of a module implies that the other homological dimensions of …

… generated homology, Christensen introduced the dimension G-… bounded and finitely generated
homology. To circumvent … homological dimension based on a larger class of complexes…

… , and finite injective dimension over a local ring R, then R is … homological dimensions
involving a semidualizing complex … for a semidualizing complex C, if there exists a complex with …

… In the first part of this paper we introduce homological dimension with respect to a suitable
complex, which is a generalization of the concepts of suitable module and dualizing complex. …

… to investigate the homological properties of local ring homomorphisms. Our interest in these
… of finite Gdimension. Unfortunately, the utility of the semidualizing R-complexes is hampered …

… Homological dimensions built from resolutions are fundamental to this work. The prototypes
are the projective and injective dimensions. … Since the outer two complexes are exact, the …

… to investigate the homological properties of local ring homomorphisms. Our interest in these
… finite G-dimension. Unfortunately, the utility of the semidualizing R-complexes is hampered …