Advances in Pure Mathematics

Volume 5, Issue 4 (March 2015)

ISSN Print: 2160-0368   ISSN Online: 2160-0384

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On Co-Primarily Packed Modules

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DOI: 10.4236/apm.2015.54022    3,264 Downloads   3,653 Views  

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.

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