Restricted visible submodules and fully restricted visible module

Mahmood S. Fiadh; Buthyna N. Shihab; Ahmed Issa

doi:10.58496/BJM/2024/006

Authors

Mahmood S. Fiadh Dep. of computer Sci., College of Edu., AlIraqia Univer. , Baghdad, Iraq. https://orcid.org/0000-0001-8924-2396
Buthyna N. Shihab Dep. of Math., College of Edu. for Pure Sciences Ibn AL-Haitham , Univ. of Baghda, Baghdad , Iraq. https://orcid.org/0000-0002-6553-2089
Ahmed Issa Dep. of Math., faculty of science, Karabük univ., Türky. https://orcid.org/0000-0002-1990-3328

DOI:

https://doi.org/10.58496/BJM/2024/006

Keywords:

Fully visible module, fully restricted visible module, Math, Multiplication module, Duo module

Abstract

In this article, the concept of Restricted visible (for short; Res-visible) submodule and fully restricted visible (for short fully Res-visible) module have been introduced which are considered the generalizations of the concepts of visible submodules and fully visible module respectively where every visible submodule (fully visible module) is Res-visible submodule (fully Res-visible) module, but the converse is not be true. Examples have been presented illustrating those relationships.

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Restricted visible submodules and fully restricted visible module

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