Abstract
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.
Keywords
Visible submodule
W-visible submodule
Fully
Keywords
Visible submodule
W-visible submodule
Fully