We study the relative Gorenstein projective global dimension of a ring with respect to a
weakly Wakamatsu tilting module C. We prove that this relative global dimension is finite if …

Let (R, m) be a commutative Noetherian local ring of Krull dimension d, and let C be a
semidualizing R-module. In this paper, it is shown that if R is complete, then C is a dualizing …

In this paper, we introduce and discuss the notion of DC-projective modules over
commutative rings, where C is a semidualizing module. This extends Gillespie and Ding …

设VꎬW 是两个R-模类ꎮ 引入了强VW-Gorenstein 复形的概念ꎬ 证明了如果VꎬW
关于扩张和有限直和封闭ꎬ 并且V⊥ Vꎬ W⊥ WꎬV⊥ WꎬVꎬW⊆ G (VW) ꎬ 那么复形M …

设R 是交换环, C 是一个半对偶R-模, X 是一个R-模类. 引入了X-GC-投射复形的概念,
证明了复形M 是XG C-投射的当且仅当M 的每个层次上的模都是XG C-投射模, 并且对任意的CX …

In this paper, let R be a commutative ring and C a semidualizing module. We investigate the
(weak) C-Gorenstein global dimension of R and we get a simple formula to compute the C …

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

Let R be a commutative Noetherian ring. In this article, we provide some new criteria for a
semidualizing module to be dualizing in terms of special homological properties of module …

Let R and S be rings and _SC_R a faithfully semidualizing bimodule. A left S-module M is
called Ding C-projective if there exists an exact sequence of C-projective left S-modules …

Let S and R be rings, SCR be a semidualizing bimodule and n≥ 0 be an integer or n=∞.
We introduce and study C-FP n-injective and C-FP n-flat modules as a common …