MMN-678
Modules that have a Rad-supplement in every cofinite extension
Burcu Nişancı Türkmen;Abstract
We say that a module M has the property (CRE) (resp. (CREE)) if M has
a Rad-supplement (resp. ample Rad-supplements) in every co nite extension. We study
modules with these properties of (CRE) and (CREE). It is shown that: a module M
has the propery (CREE) i every submodule of M has the propery (CRE). A ring R is
Rad-supplemented i every left R-module has the propery (CRE). It is also shown that
over a commutative Von Neumann regular ring a module M has the propery (CRE) i
M is co nitely injective.
Vol. 14 (2013), No. 3, pp. 1059-1066
DOI: 10.18514/MMN.2013.678