Let R be a commutative Noetherian ring and let C be a semidualizing R-module. It is proved
that FPD (R)= sup {GPC− pd R (M)| M∈ BC (R) and GPC− pd R (M)<∞}, which is a …

Let C be a semidualizing module over a commutative Noetherian ring R. We investigate
duality pairs induced by C-Gorenstein projective modules. It is proven that R is Artinian if …

摘要长期以来图灵度形成的偏序结构D=(D,≤) 是递归论的一个主要研究对象,
对其子结构R=(R,≤) 的研究则是一个重要分支. 这里R 是所有递归可枚举度的集合 …

Let R be a commutative ring and C a semidualizing R-module. For a non-negative integer n,
we study a natural generalization of copure injective (flat) modules by introducing the …

Let R be a commutative ring. We define and study f-projective modules with respect to a
semidualizing R-module C, which are called C–f-projective modules. As consequences, we …

Let R be a commutative Noetherian ring and let I be a semidualizing ideal of R. In this paper,
it is shown that the GI-projective, GI-injective, and GI-flat dimensions agree with Gpd R⊳⊲ I …

Let R be a commutative ring, 𝒞 be a semidualizing R-module. We show that the Auslander
class 𝒜𝒞 (R) with respect to 𝒞 is the first left orthogonal class of some pure injective module …

For a class of modules XX, we introduce the X X-transpose of a module with respect to a
bimodule, which unifies some well-known transposes. Let VV be a subclass of X X. The …

Let S and R be rings and _SC_R be a semidualizing bimodule. We first give the definitions
of C-transpose and nC-torsionfree and give a criterion for a module A to be G_C-projective …

Abstract Let R→ S be a ring homomorphism. The relations of Gorenstein projective
dimension with respect to a semidualizing module of homologically bounded complexes …