In this article we give the definition of weakly prime hyperideals over multiplicative hyperring. We provide important results showing relations between and hyperideals. Then n-hyperideal (1,n) hyperideal hyperrings. investigate their properties some examples. Hyperstructures are very topic because it satisfy to study multidisiplinary. Especially in chemistry, coding theory, geometry, artificia...

Definition 1.1. If S is a multiplicative subset of a ring A (commutative with 1), the quotient hyperring A/mS = (A/mS,+, ·,−, 0, 1) is defined as follows: A/mS is the set of equivalence classes with respect to the equivalence relation ∼ on A defined by a ∼ b iff as = bt for some s, t ∈ S. The operations on A/mS are the obvious ones induced by the corresponding operations on A: Denote by a the e...

Krasner hyperrings are a generalization of rings. Indeed, in hyperring the addition is hyperoperation, while multiplication an ordinary operation. On other hand, rough set theory near theory. Now, this paper we interested combining these concepts. We study and investigate notion on nearness approximation space. Also, define subhyperring, hyperideal, homomorphism prove some results present sever...

The successful implementation of the next generation of spatial data infrastructures (SDIs) will, in part, depend on the ability of SDI program coordinators to comprehend and report on the success or failure levels of the previous generations of SDIs. This is important from both a funding and an effectiveness perspective. From an effectiveness point of view, the performance of a system can only...

During magnetospheric substorms, high-latitude ionospheric plasma convection is known to change dramatically. How upper thermospheric winds change, however, has not been well understood, and conflicting conclusions have reported. Here, we study the effect of substorms on by taking advantage a chain scanning Doppler imagers (SDIs), THEMIS all-sky (ASIs), Poker Flat incoherent scatter radar (PFIS...

One of the important aspects of developing Spatial Data Infrastructure (SDI) is to facilitate data sharing and data access. In order to achieve optimum access and use of spatial data within an SDI there is a need of knowledge about the management of data, metadata, and web services and their related processes. There are many SDI initiatives under development in many jurisdictions, and hence the...

BACKGROUND AND AIMS Patterns of brain activation have demonstrated promise as prognostic indicators in substance dependent individuals (SDIs) but have not yet been explored in SDIs typical of community-based treatment settings. DESIGN Prospective clinical outcome design, evaluating baseline functional magnetic resonance imaging data from the Balloon Analogue Risk Task (BART) as a predictor of...

Let R be a commutative hyperring with identity. We introduceand study prime fuzzy hyperideals of R. We investigate the Zariski topologyon FHspec(R), the spectrum of prime fuzzy hyperideals of R.

In this paper, we introduce the concept of 1-absorbing prime hyperideals which is an expansion hyperideals. Several properties are provided. For example, it proved that if a strong C-hyperideal I id="M2"> R not prime, then id="M3"> local multiplicative hyperring. Moreover, and study notions primary hyperideals, ...