On Co-Primarily Packed Modules ()
Abstract
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 between
strongly p-compactly packed and
strongly coprimarily packed submodules.
Share and Cite:
Abulebda, L. (2015) On Co-Primarily Packed Modules.
Advances in Pure Mathematics,
5, 208-211. doi:
10.4236/apm.2015.54022.
Conflicts of Interest
The authors declare no conflicts of interest.
References
|
[1]
|
Erdoˇgdu, V. (1988) Coprimely Packed Rings. Journal of Number Theory, 28, 1-5.
http://dx.doi.org/10.1016/0022-314X(88)90115-1
|
|
[2]
|
Al-Ani, Z. (1996) Compactly Packed Modules and Coprimely Packed Modules, M.Sc. Thesis, College of Science, Baghdad University, Baghdad.
|
|
[3]
|
Abulebda, L. (2012) Characterization of P-Compactly Packed Modules. International Journal of Applied Physics and Mathematics, 2, 328-332.
|