Abstract

In this article, the concept of Restricted visible (for short; Res-visible) submodule and fully restricted visible (for short fully Res-visible) module have been introduced which are considered the generalizations of the concepts of visible submodules and fully visible module respectively where every visible submodule (fully visible module) is Res-visible submodule (fully Res-visible) module, but the converse is not be true. Examples have been presented illustrating those relationships.

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