Jitendrasing Jaysing Patil - Department of Mathematics, Indraraj Arts, Commerce and Science college, Sillod, Dr. Babashasheb Ambedkar Marathwada University Aurangabad- ۴۳۱ ۱۱۲, India.
Kishor F. Pawar - Department of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, ۴۲۵ ۰۰۱ M.S., India

The concept of Γ-semihyperrings is a generalization of semirings, semihyperrings and  Γ-semirings. The notion of bi-ideals and minimal bi-ideals in Γ-semihyperrings is introduced with several examples. We also made some ideal theoretic characterization of bi-ideals and minimal bi-ideals in Γ-semihyperrings. Then the notion of bi-simple Γ-semihyperrings is introduced and it is proved that ``If R is a Γ-semihyperring without zero, then R is a bi-simple Γ-semihyperring if and only if (k)b=R, for all k∈ R, where (k)b is a bi-ideal generated by k."

Γ-semihyperring, Bi-ideals, Minimal bi-ideals, bi-simple Γ-semihyperring