ON δ-PRIMARY HYPERIDEALS OF COMMUTATIVE SEMIHYPERRINGS

Abstract

In this paper, we study the mapping.. that assigns to each hyperideal I of the commutative semihyperring R, another hyperideal delta(I) of the same semihyperring. Also we introduced the notation of delta-zero divisor of commutative semihyperring and delta-semidomainlike semihyperring which is generalization to those in the semirings. Moreover we showed that if delta be a global hyperideal expansion then I is delta-primary if and only if Z(delta) (R/I) subset of ({0(R/I)}). /})/.