Abstract
LetXbe aT-module, T is a commutative ring with identity andKbe a proper submodule ofX. In thispaper we introduce the concepts of 2-visible submodules and fully 2-visible modules as a generalizations of visiblesubmodules and fully visible modules resp., whereKis said to be 2-visible wheneverK=I2Kfor every nonzeroidealIofTand AT-moduleXis called fully 2-visible if for any proper submodule of it is 2-visible.Study some ofthe properties of these concepts also discuss the relationship 2-visible submodules and fully 2-visible modules with2-pure submoules and other related submodules and modules resp. are given
Recommended Citation
Fiadh, Mahmood S. and Hanoon, Wafaa H.
(2024)
"2-Visible Submodules and Fully 2-Visible Modules,"
Iraqi Journal for Computer Science and Mathematics: Vol. 1:
Iss.
2, Article 3.
DOI: https://doi.org/10.52866/ijcsm.2020 .01.01.002
Available at:
https://ijcsm.researchcommons.org/ijcsm/vol1/iss2/3
