Acta Mathematica Sinica, English Series Page 1 Acta Mathematica Sinica, English Series
Nov., 2018, Vol. 34, No. 11, pp. 1718–1730 Published online: June 6, 2018 https://doi.org/10.1007/s10114-018-7461-7 …

An R-module M is called Ding projective if there exists an exact sequence⋯→ P1→ P0→
P0→ P1→⋯ of projective R-modules with M= Ker (P0→ P1) such that Hom (-, F) leaves the …

We characterize Ding modules and complexes over Ding-Chen rings. We show that, over a
Ding-Chen ring R, the Ding projective (respectively, Ding injective, respectively, Ding flat) R …

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 …

We introduce the singularity category with respect to Ding projective modules, D dpsg b (R),
as the Verdier quotient of Ding derived category D DP b (R) by triangulated subcategory K b …

Abstract Let R⋉ M be a trivial extension of a ring R by an RR-bimodule M such that MR,
RM,(R, 0) R⋉ M and R⋉ M (R, 0) have finite flat dimensions. We prove that (X, α) is a Ding …

The concepts of Ding projective, injective R-modules were first introduced by Ding and his
partners in [J. Aust. Math. Soc., 86 (2009), 323–338] and [J. Algebra Appl., 7 (4)(2008), 491 …

Let R be a ring and X a chain complex of R-modules. It is proven that if each term X_i X i is
Ding injective in R-Mod for all i ∈ Z i∈ Z, and there exists an integer k such that each Z _iX …

In this paper, we investigate the properties of right orthogonal modules of CC, where CC is a
class of left R-modules. As an application, we investigate the properties of right orthogonal …

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 …