%0 Journal Article %T On Co-Primarily Packed Modules %A Lamis J. M. Abulebda %J Advances in Pure Mathematics %P 208-211 %@ 2160-0384 %D 2015 %I Scientific Research Publishing %R 10.4236/apm.2015.54022 %X
Let R be a commutative ring with 1, and M is a (left) R-module. We introduce the concept of coprimarily
packed submodules as a proper submodule N of an R-module M which is said to be
Coprimarily Packed Submodule. If where Na is a primary
submodule of M for each
, then
for some
. When there exists
such that
; N is called Strongly Coprimarily Packed submodule. In this paper,
we list some basic properties of this concept. We end this paper by
explaining the relations between p-compactly packed and coprimarily packed submodules, and also the relations
%K Coprimarily Packed Submodule
%K Strongly Coprimarily Packed Submodule
%K Bezout Module
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=54899