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.

In this note we find sufficient conditions for ergodicity of a Lévy-type process with the generator corresponding semigroup given by $$\begin{aligned} Lf(x)= & {} a(x)f'(x)\\{} + \int _\mathbb {R}\left( f(x+u)-f(x)- \nabla f(x)\cdot u \mathbb {1}_{|u|\le 1} \right) \nu (x,du), \quad f\in C_\infty ^2(\mathbb {R}). \end{aligned}$$ Here $$\nu (x,du)$$ is kernel and $$a(\cdot ): {R}\rightarrow {R}$...

COSINE-100 is a direct detection dark matter experiment that aims to test DAMA/LIBRA's claim of discovery by searching for matter-induced annual modulation signal with NaI(Tl) detectors. We present new constraints on the from dataset 2.82 yr livetime utilizing an active mass 61.3 kg, total exposure 173 kg$\cdot$yr. This result features improved event selection allows both lowering energy thresh...

The warm-hot intergalactic medium (warm-hot IGM, or WHIM) pervades the filaments of Cosmic Web and harbours half Universe's baryons. WHIM's thermodynamic properties are notoriously hard to measure. Here we estimate a galaxy group - WHIM boundary temperature using new method. In particular, use radio image giant (giant RG, GRG) created by NGC 6185, massive nearby spiral. We analyse this extraord...

let $s$ be an ordered semigroup. a fuzzy subset of $s$ is anarbitrary mapping   from $s$ into $[0,1]$, where $[0,1]$ is theusual interval of real numbers. in this paper,  the concept of fuzzygeneralized bi-ideals of an ordered semigroup $s$ is introduced.regular ordered semigroups are characterized by means of fuzzy leftideals, fuzzy right ideals and fuzzy (generalized) bi-ideals.finally, two m...

Let $G$ be a finite group and $pi(G)$ be the set of all prime divisors of $|G|$. The prime graph of $G$ is a simple graph $Gamma(G)$ with vertex set $pi(G)$ and two distinct vertices $p$ and $q$ in $pi(G)$ are adjacent by an edge if an only if $G$ has an element of order $pq$. In this case, we write $psim q$. Let $|G= p_1^{alpha_1}cdot p_2^{alpha_2}cdots p_k^{alpha_k}$, where $p_1