Let C be a semidualizing module for a commutative ring R. In this paper, we study the
resulting modules of finite GC-projective dimension in Bass class, showing that they admit …

Let R be a commutative Noetherian ring and let C be a semidualizing R-module. We prove a
result about the covering properties of the class of relative Gorenstein injective modules with …

The authors introduce and investigate the T_C-Gorenstein projective, L_C-Gorenstein
injective and H_C-Gorenstein flat modules with respect to a semidualizing module C which …

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In this paper we introduce the notion of Gorenstein X-flat R-module and study a kind of
stability of the class of Gorenstein X-flat R-modules. A ring R is called right GXF-closed if the …

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 Noetherian ring and let C be a semidualizing R-module. The aim of
this paper is to introduce and study the relative version of Matlis duality with respect to C and …

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 …

We study complete cohomology of complexes with finite Gorenstein AC-projective
dimension. We show first that the class of complexes admitting a complete level resolution is …