Restricted visible submodules and fully restricted visible module

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Published: 2024-04-24
DOI: https://doi.org/10.58496/BJM/2024/006
Keywords:
Fully visible module, fully restricted visible module, Math, Multiplication module, Duo module

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Mahmood S. Fiadh
Dep. of computer Sci., College of Edu., AlIraqia Univer. , Baghdad, Iraq.
https://orcid.org/0000-0001-8924-2396 (unauthenticated)
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 (unauthenticated)
Ahmed Issa
Dep. of Math., faculty of science, Karabük univ., Türky.
https://orcid.org/0000-0002-1990-3328 (unauthenticated)

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.

Article Details

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Vol. 2024 (2024)

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Articles

How to Cite

[1]
M. S. Fiadh, B. N. Shihab, and A. Issa, “Restricted visible submodules and fully restricted visible module ”, Babylonian Journal of Mathematics, vol. 2024, pp. 48–52, Apr. 2024, doi: 10.58496/BJM/2024/006.