Abbasi, M. Y.; Basar, Abul; Ali, Akbar On bi-\(\Gamma\)-ideals in \(\Gamma\)-semigroups with involution. (English) Zbl 1432.20044 Ital. J. Pure Appl. Math. 41, 399-404 (2019). Summary: The concept of involution in semigroups was given by T. E. Nordahl and H. E. Scheiblich [Semigroup Forum 16, 369–377 (1978; Zbl 0408.20043)]. In this paper, we introduce involution in \(\Gamma\)-semigroups. Also, we define bi-\(\Gamma\)-ideals in \(\Gamma\)-semigroups with involution and prove many interesting results characterizing \(\Gamma\)-semigroups with involution by using bi-\(\Gamma\)-ideals. MSC: 20M75 Generalizations of semigroups 20M12 Ideal theory for semigroups Keywords:\(\Gamma\)-semigroups; involution; quasi-\(\Gamma\)-ideal; bi-\(\Gamma\)-ideal Citations:Zbl 0408.20043 PDFBibTeX XMLCite \textit{M. Y. Abbasi} et al., Ital. J. Pure Appl. Math. 41, 399--404 (2019; Zbl 1432.20044) Full Text: Link