(WEAKLY) (s, n)-CLOSED HYPERIDEALS IN COMMUTATIVE MULTIPLICATIVE HYPERRINGS

‎A multiplicative hyperring is a well-known type of algebraic hyperstructures which extends a ring to a structure in which the addition is an operation but the multiplication is a hyperoperation‎. ‎Let G be a commutative multiplicative hyperring and s,n \in \mathbb{Z}^+‎. ‎A proper hyperideal Q of G is called (weakly) (s,n)-closed if (۰ \notin a^s \subseteq Q ) a^s \subseteq Q for a \in G implies a^n \subseteq Q‎. ‎In this paper‎, ‎we aim to investigate (weakly) (s,n)-closed hyperideals and give some results explaining the structures of these notions‎.

کلیدواژه ها:

‎weakly (s ، n)-closed ideal‎ ، ‎(s ، n)-unbreakable-zero element