In this paper, we introduce the concept of semihyperring $(R,+,cdot)$ together with a suitable partial order $le$. Moreover, we introduce and study hyperideals in ordered semihyperrings. Simple ordered semihyperrings are defined and its characterizations are obtained. Finally, we study some properties of quasi-simple and $B$-simple ordered semihyperrings.

The notion of ordered semihyperrings is a generalization semirings and semihyperrings. In this paper, the Galois connection between are studied in detail various interesting results obtained. A construction an semihyperring via regular relation given. Furthermore, we present homomorphisms derivations on semihyperring.

in this paper, we introduce the concept of semihyperring $(r,+,cdot)$ together with a suitable partial order $le$. moreover, we introduce and study hyperideals in ordered semihyperrings. simple ordered semihyperrings are defined and its characterizations are obtained. finally, we study some properties of quasi-simple and $b$-simple ordered semihyperrings.

We propose a new class of algebraic structure named as (m, n)-semihyperring which is a generalization of usual semihyperring. We define the basic properties of (m, n)-semihyperring like identity elements, weak distributive (m, n)semihyperring, zero sum free, additively idempotent, hyperideals, homomorphism, inclusion homomorphism, congruence relation, quotient (m, n)-semihyperring etc. We propo...

A Γ-semihyperring is a generalization of a semiring, a generalization of a semihyperring and a generalization of a Γ-semiring. In this paper, we define the notion of a fuzzy (prime) Γ-hyperideal of a Γ-semihyperring. Then we prove some results in this respect. Also, by using the notion of fuzzy Γ-hyperideals, we give several characterizations of Γ-semihyperrings. 2000 Mathematics Subject Classi...

The concept of quasi-coincidence of interval valued fuzzy point with an interval valued fuzzy subset has considered. By using this idea, the notion of interval valued (α, β)-fuzzy hyperideal in a semihyperring introduced and consequently, a generalization of interval valued fuzzy hyperideals and interval valued fuzzy hyperideals have defined. In this paper, we study the related properties of th...

and Applied Analysis 3 Then,M m,n (S) isM n,m (S)-semihyperring [29]. Now, suppose that

In this paper, first, we state an operator LR on ordered semihyperring R. We show that if φ:R⟶T is a monomorphism and K⊆R, then LT(φ(K))=φ(LR(K)). Afterward, hyperatom elements in semihyperrings are defined some results respect investigated. Denote by A(R) the set of all hyperatoms prove R finite |R|≥2, for any q∈R\{0}, there exists hq∈A*(R)=A(R)\{0} such hq≤q. Finally, study LR-graph give exam...

The purpose of this paper is to introduced neutrosophic hyperideals of a Γ-semihyperring and consider some operations on them to investigate some of its basic properties.

the concept of  -semihyperring is a generalization of semiring, a generalization of semihyperring and a generalization of      -semiring. since the theory of ideals plays an important role in the theory of  - semihyperring, in this paper, we will make an intensive study of the notions of noetherian, artinian, simple and   regular      -semihyperrings. the bulk of this paper...