Flat submodules of free modules over commutative Bezout rings Page 1 BULL. AUSTRAL. MATH.
SOC. 13A15, 13C10, 13cll VOL. 71 (2005) [113-119] FLAT SUBMODULES OF FREE MODULES …

Let $ R $ be a commutative ring with an identity, and $ S $ a multiplicative subset of $ R $. In
this paper, we introduce the notion of $ S $-injective modules as a weak version of injective …

We assume throughout that R is an associative ring with unity whose modules are left unital;
J (R) is the Jacobson radical of R;~ n is the ring of matrices of order n over the ideal~ of R; …

The concept of subflat domain is used to measure how close (or far away) a module is to be
flat. A right module is flat if its subflat domain is the entire class of left modules. In this note …

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 …

R is called a left PS (resp. left min-coherent, left universally mininjective) ring if every simple
left ideal is projective (resp. finitely presented, a direct summand of R). We first investigate …

Let ℰ be an injectively resolving subcategory of left R-modules. We study a particular case of
ℰ-Gorenstein injective and flat modules, called strongly ℰ-Gorenstein injective and flat …

The injective hull of a module M can be characterized as a homomorphism f: M~ E (with E an
injective module) such that for each homomorphism g: M--* E'with E'injective, there exists a …

In this paper, we extend the notion of C-injective module to that of C-FP-injective module,
where S CR is a semidualizing bimodule over associative rings. We first obtain a result on …

Given modules RM and AR, RM is said to be absolutely AR-pure if A⊗ M→ A⊗ B is a
monomorphism for every extension RB of RM. For a module AR, the absolutely pure domain …