@article{MAKHILLJEAS2018132417259,
    title = {Visible Sub-Modules of a Module X Over a Ring R is Introduced},
    journal = {Journal of Engineering and Applied Sciences},
    volume = {13},
    number = {24},
    pages = {10349-10355},
    year = {2018},
    issn = {1816-949x},
    doi = {jeasci.2018.10349.10355},
    url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2018.10349.10355},
    author = {Muhammad and},
    keywords = {vclosure operation,pure submodule,strongly cancellation module,visible radical of submodule,Visible submodule,concepts},
    abstract = {The concept of visible submodule of a module X over a ring R is introduced (R is commutative ring
with identity and X is unitary R-module) where is a new concept not previously presented. As well as the
description of the visible radical submoule and many of the results own this concept has mad. Also, we have
presented a concept of V closure operation. Through this study we have been able to obtain many of the
results and characteristics that belong to those concepts above.}
    }