2-Visible Submodules and Fully 2-Visible Modules

Mahmood S. Fiadh; Wafaa H. Hanoon

doi:10.52866/ijcsm.2020.01.01.004

2-Visible Submodules and Fully 2-Visible Modules

Authors

Mahmood S. Fiadh Department of computer / college of Education / Al – Iraqia University / Baghdad / Iraq. https://orcid.org/0000-0001-8924-2396
Wafaa H. Hanoon Dep. of Math../ College of Edu. /Univ. of Kufa/Najaf, Iraq

DOI:

https://doi.org/10.52866/ijcsm.2020.01.01.004

Keywords:

visible submodules; 2-visible submodules; 2-pure submoules; strongly cancellation module; fully visible modules; fully 2-visible modules

Abstract

Let X be a T -module, T is a commutative ring with identity and K be a proper submodule of X. In this
paper we introduce the concepts of 2-visible submodules and fully 2-visible modules as a generalizations of visible
submodules and fully visible modules resp., where K is said to be 2-visible whenever K=I2 K for every nonzero
ideal I of T and AT -module X is called fully 2-visible if for any proper submodule of it is 2-visible.Study some of
the properties of these concepts also discuss the relationship 2-visible submodules and fully 2-visible modules with
2-pure submoules and other related submodules and modules resp. are given

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Published

2020-07-30

How to Cite

[1]

Mahmood S. Fiadh and Wafaa H. Hanoon, “2-Visible Submodules and Fully 2-Visible Modules ”, Iraqi Journal For Computer Science and Mathematics, vol. 1, no. 2, pp. 24–28, Jul. 2020.