Some Results on Essentially Quasi-DedekindModules
Essentially quasi-Dedekind modules
Baer modules
retractable modules
compressible modules
monoform modules
In this paper we give many connections between essentially quasi-Dedekind (quasi-
Dedekind) modules and other modules such that Baer modules, retractable modules,
essentially retractable modules, compressible modules and essentially compressible
modules where an R-module M is called essentially quasi-Dedekind (resp. quasi-
Dedekind) if, Hom(M N ,M ) 0 for all N ≤e M (resp. N ≤ M). Equivalently, a
module M is essentially quasi-Dedekind (resp. quasi-Dedekind) if, for each
f End (M) R , Kerf ≤ e M implies f = 0 (resp. f 0 implies ker f 0 ).