@article{MAKHILLJEAS2019141518175,
    title = {ON α-g-closed Sets with Respect to an Ideal},
    journal = {Journal of Engineering and Applied Sciences},
    volume = {14},
    number = {15},
    pages = {5157-5159},
    year = {2019},
    issn = {1816-949x},
    doi = {jeasci.2019.5157.5159},
    url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2019.5157.5159},
    author = {R.B.},
    keywords = {α1-g-O set,α1-g-C set,α1-g-compact,α1-gc-compact,ideals,α-g-open},
    abstract = {This research informs new types of weakly α-open sets via. ideals which generalize a usual notion
for α-g-open sets which is finer than α-open set. The relationship between this notion and previously defined
concepts was studied. Some properties are studied like compactness by using this notion. Some examples have
been shown that the opposite is not true for many propositions and various types of ideals were used in these
examples. The relationship between different types of compactness has been clarified in a flowchart. As a result,
we obtained many propositions and remarks of knowledge sets, including that the existence of two different
ideals on the same set such that one of them subset of the other does not necessarily indicate that there is a
relationships between the two sets defined on these ideals. It is also by using different types of topologies and
ideals to know the form of new knowledge sets.}
    }