On Small Primary Modules

Adwia Jassim  Abdul-AlKalik

doi:10.24996/ijs.2021.62.4.26

On Small Primary Modules

Authors

Adwia Jassim Abdul-AlKalik Directorate General of Education In Diyala, Ministry of Education, Diyala, Iraq

DOI:

https://doi.org/10.24996/ijs.2021.62.4.26

Keywords:

Primary submodules, Primary modules, Small submodules, Small primary submodule, Small primary modules

Abstract

Let be a commutative ring with an identity and be a unitary -module. We say that a non-zero submodule of is primary if for each with en either or and an -module is a small primary if = for each proper submodule small in. We provided and demonstrated some of the characterizations and features of these types of submodules (modules).