A quasi-injective weakly co-Hopfian right module over a right Noetherian ring is
characterized. Those right semi-Artinian rings and right FBN rings over which completely …

We carry out an extensive study of modules MR with the property that M/f (M) is singular for
all injective endomorphisms f of M. Such modules called “quasi co-Hopfian”, generalize co …

Recently, the rings whose injective right modules are R-projective (respectively, max-
projective) were investigated and studied in [2]. Such ring are called right almost-QF …

A ring A is a completely integrally closed right A-module if and only if the maximal right ring
of quotients Q max (A) of A is an injective right A-module and A is a right completely …

The main purpose of this thesis is to investigate the notion of strongly noncosingular
modules. We call a right R-module M strongly noncosingular if for every nonzero right R …

A right $ R $-module $ M $ is called $ R $-projective provided that it is projective relative to
the right $ R $-module $ R_ {R} $. This paper deals with the rings whose all nonsingular …

The modules of the title are introduced as a proper generalization of quasi co-Hopfian
modules, and they are characterized in several ways. The ring R is right nonsingular if and …

A ring A is left co-Noetherian if the injective hull of each simple left A-module is Artinian.
Such rings have been studied by Vámos and Jans. Dually, call A left co-Artinian if the …

We introduce and study a nontrivial generalization of uniserial modules and rings. A module
is called weakly uniserial if its submodules are comparable regarding embedding. Also, a …

Essential Extensions of a Direct Sum of Simple Modules-II Page 1 Modules and Comodules
Trends in Mathematics, 243–246 c© 2008 Birkhäuser Verlag Basel/Switzerland Essential …