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 and study the concepts of weak n-injective and weak n-flat modules in terms of
super finitely presented modules whose projective dimension is at most n, which generalize …

Several authors have been interested in cotorsion theories. Among these theories we figure
the pairs $(\mathcal P_n,\mathcal P_n^{\perp}) $, where $\mathcal P_n $ designates the set …

We investigate the notion of the C-projective dimension of a module, where C is a
semidualizing module. When C= R, this recovers the standard projective dimension. We …

Using U-torsionless module we characterize U-neat submodules and Au-injective modules.
If M is a left R-module, U is E (M)-injective and Eu (M)/M does not contain a nonzero …

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 …

The purpose of this study is to give an up-to-date presentation of known and new results on
extending modules and related notions with respect to an R-module class X. By assuming …

Let R be a left Noetherian ring, S a right Noetherian ring and R ω a Wakamatsu tilting
module with S= End (R ω). We introduce the notion of the ω-torsionfree dimension of finitely …

On dominant and codominant dimension of QF-3 rings Page 1 Pacific Journal of Mathematics
ON DOMINANT AND CODOMINANT DIMENSION OF QF−3 RINGS DAVID A. HILL Vol. 49, No …

The main purpose of this thesis is to study R-projectivity and max-projectivity of some
classes of modules, and module classes related to max-projective modules. A right R …