On Co-Primarily Packed Modules
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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.
Cite this paper:
Abulebda, L. (2015) On Co-Primarily Packed Modules. Advances in Pure Mathematics, 5, 208-211. doi: 10.4236/apm.2015.54022.
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.