classes of f-hyperideals in a krasner f^(m;n)-hyperring

Krasner f^ (m,n) -hyperrings were introduced and investigated by farshi and davvaz. in this paper, our purpose is to define and characterize three particular classes of f-hyperideals in a krasner f ^(m,n) -hyperring, namely prime f-hyperideals, maximal f-hyperideals and primary f-hyperideals, which extend similar concepts of ring context. furthermore, we examine the relations between these structures. then a number of major conclusions are given to explain the general framework of these structures.