TITLE:
On Co-Primarily Packed Modules
AUTHORS:
Lamis J. M. Abulebda
KEYWORDS:
Coprimarily Packed Submodule, Strongly Coprimarily Packed Submodule, Bezout Module
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.5 No.4,
March
23,
2015
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.