… ( M ) < ∞ } and the related finitistic Gorenstein projective dimension of the base ring R as
follows: … For a semidualizing R-module C, we define the finitistic projective dimension of R with …

… Wakamatsu tilting module Rω over an artin algebra R, the projective (or injective) dimensions
of Rω … This conjecture situates between the famous finitistic dimension conjecture and the …

… In this paper, we prove that the Bass class BC (S) with respect to a semidualizing bimodule
C contains all FP-injective S-modules. We introduce the definition of C-FPinjective modules, …

… ) homological dimensions relative to a semidualizing module … of (Gorenstein) homological
dimensions. In this paper, we … this finitistic dimension is bounded by the injective dimension …

… dimension of any left R-module is at most n. In addition, in several cases, for a subcategory
𝒞 of 𝒯 , we show that the finitistic 𝒞 -projective and 𝒯 -projective dimensions … a semidualizing …

… about Gorenstein projective dimension of Gorenstein flat R–modules. As a first example of
what can be gained from our characterization of modules of finite Gorenstein dimensions, we …

… identity and RC a weakly Wakamatsu tilting module with S … We study the finitistic projective
dimension of R with respect to C. … of semidualizing modules over arbitrary associative rings. …

… Ding projective modules relative to a semidualizing module and … DC -projective dimensions
and DC -projective modules under … module over a right coherent ring with finite left finitistic …

… study of semidualizing modules under different names. A semidualizing module C induces
… that the classical finitistic projective dimension and the injective dimension are equal to the …

… projective modules with respect to semidualizing module C … flat modules with respect to
semidualizing module C over an … the finitistic X-resolution dimension of A and the finitistic H-…