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.