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W-visible submodules and W-fully visible modules
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In this paper, we presented a special type of submodule named W-visible submodule, which is weaker
than the visible submodule, where a proper submodule W of a T-module X is said to be W-visible if W = IW for some
non-zero proper ideal I of T. Also, we presented the concept of W-fully visible module, where a module X over a
ring T is said to be W-fully visible if any proper submodule of X is W-visible submodule. This concept is considered
weaker than the concept of fully visible module. In this study, we achieved numerous results and characteristics that
belong to this concept
College of Education - Aliraqia University
Title: W-visible submodules and W-fully visible modules
Description:
In this paper, we presented a special type of submodule named W-visible submodule, which is weaker
than the visible submodule, where a proper submodule W of a T-module X is said to be W-visible if W = IW for some
non-zero proper ideal I of T.
Also, we presented the concept of W-fully visible module, where a module X over a
ring T is said to be W-fully visible if any proper submodule of X is W-visible submodule.
This concept is considered
weaker than the concept of fully visible module.
In this study, we achieved numerous results and characteristics that
belong to this concept.
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