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2-Visible Submodules and Fully 2-Visible Modules
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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
College of Education - Aliraqia University
Title: 2-Visible Submodules and Fully 2-Visible Modules
Description:
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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