@article{MAKHILLJMMS20104128139,
    title = {Necessary and Sufficient Conditions Where One Γ-Semigroup is a Γ-Group},
    journal = {Journal of Modern Mathematics and Statistics},
    volume = {4},
    number = {1},
    pages = {44-49},
    year = {2010},
    issn = {1994-5388},
    doi = {jmmstat.2010.44.49},
    url = {https://makhillpublications.co/view-article.php?issn=1994-5388&doi=jmmstat.2010.44.49},
    author = {Sabri},
    keywords = {±-idempotent element,(±, ²)-inverse element,“-semigroups,“-algebraic structures,“-semigroup idempotent,“-group},
    abstract = {In this study, researchers have studied the Γ-algebraic structures and some characteristics of them. According to Sen and Saha, we defined algebraic structures: Γ-semigroup, Γ-regular semigroup, Γ-idempotent semigroup, Γ-invers semigroup and Γ-group. Theorem 2, 3 and 4 proves the existence of Γ-group and gives necessary and sufficient conditions where one Γ-semigroup is a Γ-group. Finally, theorem 5 shows necessary and sufficient conditions where one Γ-regular semigroup is a Γ-group. In addition, for every Γ- algebraic structure that we mentioned before we give an original example.}
    }