This is a study of Ding projective modules relative to a semidualizing module and related
topics. Firstly, we study DC-projective dimensions and DC-projective modules under change …

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 …

For a semidualizing module C over a ring R, the class of GC–projectives, GC, the Auslander
class AC and the Bass class BC, modulo an exact zero–divisor, are studied. For an R …

In this paper, for a fixed semidualizing module C, we introduce the notion of DC-projective
modules which are the special setting of GC-projective modules introduced by White [D …

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 …

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 …

In this article, we characterize some rings in terms of the DG-projective, injective and flat
complexes. We also give some connections between DG-injective complexes and DG-flat …

In this paper, the authors introduce the concept of integrally closed modules and
characterize Dedekind modules and Dedekind domains. They also show that a given …

Let C be a semidualizing R-module, where R is a commutative ring. We first introduce the
definition of C-cotorsion modules, and obtain the properties of C-cotorsion modules. As …

In this paper, we introduce the notion of DP-projective modules. It is shown that a left R-
module M over a ring R is DP-projective if and only if it is a cokernel of a Ding projective …