We consider some generalizations of the notion of divisible module, and study when our
“divisible” modules coincide with injective modules. Here the base ring RR is usually a (not …

Among commutative integral domains, Priifer domains are precisely those whose lattice of
ideals satisfies the distributive law, and the noetherian Priifer domains are precisely the …

An R-module is a simple divisible module if it is a nonzero divisible module that has no
proper non-zero divisible submodules. We study simple divisible modules and their …

Over integral domains, we characterize modules of finite weak dimension⩽ n in terms of h-
divisible pure-injective modules (Theorems 2.1 and 2.2). We compare various classes of h …

DUALITY THEORY FOR QUASI-INJECTIVE MODULES JM Zelmanowitz Department of
Mathematics University of California, Santa Barbara, C Page 1 DUALITY THEORY FOR …

In this note, we provide a generalization of a well-known result of module theory which
states that two injective modules are isomorphic when they are isomorphic to submodules of …

The aim of this paper is to describe an equivalence between the full subcategory of Mod-R
whose objects are all the divisible modules over an integral domain R and a suitable full …

The 𝒯-divisible R-modules are defined in terms of a hereditary torsion theory of modules
over an associative ring R with identity element. In the special case where 𝒯 is the usual …

On some Classes of Divisible Modules. Page 1 REND. SEM. MAT. UNIV. PADOVA, Vol. 115
2006) On some Classes of Divisible Modules. LUIGI SALCE - PETER VAÂMOS Dedicated to …

Matlis showed that an injective module over a commutative Noetherian ring R can be
completely decomposed as a direct sum of indecomposable injective submodules. In this …