We investigate the (separated) monomorphism category $\operatorname
{mono}(Q,\Lambda) $ of a quiver $ Q $ over an Artin algebra $\Lambda $. We construct an …

Let R be an associative ring and denote by the injective hull of the right module RR. If can be
endowed with a ring multiplication which extends the existing module multiplication, we say …

We study modules for the divided power algebra $\mathbf {D} $ in a single variable over a
commutative Noetherian ring $\mathbf {K} $. Our first result states that $\mathbf {D} $ is a …

A module M over a ring is called simple-separable if every simple submodule of M is
contained in a finitely generated direct summand of M. While a direct sum of any family of …

In [51, Fuchs and Halperin proved that any regular ring (in the sense of von Neumann) can
be embedded as an ideal in a regular ring with unity and in [5], Funayama showed that the …

Riassunto s. Singh ha introdotto in [5] i moduli M, su un anello unitario, soddisfacenti le due
condizioni seguenti: ogni sottomodulo di tipo finito di ogni immagine omomorfa di M è …

About the decompositions of injective modules, E. MATLIS [9], RB WAR. FIELD, JR [14] and
I. BECK [2] have given many interesting results. Among others, E. MATLIS has completely …