For a ring R, we prove that all left R-modules have weak injective covers and weak injective
preenvelopes. Then we characterize the right weak injective dimension of modules in terms …

In this paper, let $ R $ be a ring and $(\mathcal {F},\mathcal {C}) $ a cotorsion pair of right $
R $-modules. $\mathcal {F} $-dimension ($\mathcal {C} $-dimension) of right $ R $-modules …

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 …

Until now there has been no suitable dimension to measure how far a module deviates from
being uniserial. We define and study a new dimension, which we call uniserial dimension …

Let R be a ring and β× α (R)(ℝ β× α (R)) the set of all β× α full (row finite) matrices over
R where α and β≥ 1 are two cardinal numbers. A left R-module M is said to be “injective …

In this article we introduce and study the concepts of uncountably generated Krull dimension
and uncountably generated Noetherian dimension of an R-module, where R is an arbitrary …

According to Bourbaki [1, pp. 62–63, Exercise 11], a left (resp. right) A-module M is said to
be pseudo-coherent if every finitely generated submodule of M is finitely presented, and is …

Let M be a right R-module with endomorphism ring S. We study the left (m, n)-coherence of
S. It is shown that S is a left (m, n)-coherent ring if and only if the left annihilator ann M n …

We study the relations between finitistic dimensions and restricted injective dimensions. Let
R be a ring and T a left R-module with A= End RT. If RT is selforthogonal, then we show that …